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MCQOPTIONS
This section includes 1900 Mcqs, each offering curated multiple-choice questions to sharpen your 9th Class knowledge and support exam preparation. Choose a topic below to get started.
| 1251. |
If ABCD is a parallelogram whose diagonals intersect at O and \[\Delta \,ABC\] is an equilateral triangle having each side of length 6 cm, then the length of diagonal AC is |
| A. | \[3\sqrt{3}\,\,cm\] |
| B. | \[6\sqrt{3}\,\,cm\] |
| C. | \[3\sqrt{6}\,\,cm\] |
| D. | 12 cm |
| Answer» C. \[3\sqrt{6}\,\,cm\] | |
| 1252. |
In the shown figure, the value of a is equal to |
| A. | \[y+z\] |
| B. | \[x+y\] |
| C. | \[x+y+z\] |
| D. | \[~\frac{x+y+z}{2}\] |
| E. | None of these |
| Answer» D. \[~\frac{x+y+z}{2}\] | |
| 1253. |
The internal bisectors of\[\text{I}\] and \[\text{II}\] of \[\text{III}\]meet at C. If \[\text{IV}\] = \[70{}^\circ \], then \[\text{I}\] is |
| A. | \[110{}^\circ \] |
| B. | \[125{}^\circ \] |
| C. | \[130{}^\circ \] |
| D. | \[140{}^\circ \] |
| Answer» E. | |
| 1254. |
OA, OB are the radii of a circle with 0 as centre, the angle AOB = \[120{}^\circ \]. Tangents at A and B are drawn to meet in the point C. If OC intersects the circle in the point D, then D divides OC in the ratio of |
| A. | 1 : 2 |
| B. | 1 : 3 |
| C. | 1:1 |
| D. | 2 : 3 |
| Answer» D. 2 : 3 | |
| 1255. |
In the given figure, ABC is a triangle in which D and E are the middle points of BC and AC respectively. If AO = 6 cm, find the length of OD. |
| A. | 3 cm |
| B. | 6 cm |
| C. | 4 cm |
| D. | 2cm |
| Answer» B. 6 cm | |
| 1256. |
The locus of the centres of all circles of given radius r, in the same planes, passing through a fixed point is |
| A. | A point |
| B. | A circle |
| C. | A straight line |
| D. | Two straight lines |
| Answer» C. A straight line | |
| 1257. |
Any cyclic parallelogram is a |
| A. | rectangle |
| B. | rhombus |
| C. | trapezium |
| D. | square |
| Answer» B. rhombus | |
| 1258. |
Two poles of height 10 m and 15 m, stand on a plane ground. If the distance between their feet is 12m, the distance between their tops is |
| A. | 12 m |
| B. | 13 m |
| C. | 12.5 m. |
| D. | 13.5 m |
| Answer» C. 12.5 m. | |
| 1259. |
If each interior angle of a regular polygon is twice as large as the exterior angle, the number of sides is |
| A. | 4 |
| B. | 6 |
| C. | 10 |
| D. | 8 |
| Answer» C. 10 | |
| 1260. |
The number of sides of a regular polygon, if each of its interior angles is \[135{}^\circ \], is given by |
| A. | 4 |
| B. | 6 |
| C. | 8 |
| D. | 10 |
| Answer» D. 10 | |
| 1261. |
In the given figure, RS is a tangent, PQ = 12 cm and QR = 4 cm. Then RS is |
| A. | 9 cm |
| B. | 8 cm |
| C. | 10 cm |
| D. | 11 cm |
| Answer» C. 10 cm | |
| 1262. |
A polygon has 54 diagonals. The number of sides in the polygon is : |
| A. | 7 |
| B. | 9 |
| C. | 12 |
| D. | 11 |
| E. | None of these |
| Answer» D. 11 | |
| 1263. |
In the adjoining figure, 0 is the centre of circle and diametre AC = 26 cm. If chord AB = 10 cm, then the distance between chord AB and centre 0 of the circle is: |
| A. | 24 cm |
| B. | 16cm |
| C. | 12 cm |
| D. | 11 cm |
| E. | None of these |
| Answer» D. 11 cm | |
| 1264. |
ABC is a cyclic triangle and the bisectors of \[\angle \mathbf{BAC},\text{ }\angle \mathbf{ABC}\] and \[\angle \mathbf{BCA}\] me the circle at P, Q and R respectively. Then the angle \[\angle \mathbf{RQP}\] is __________. |
| A. | \[90{}^\circ +\frac{C}{2}\] |
| B. | \[90{}^\circ -\frac{A}{2}\] |
| C. | \[90{}^\circ +\frac{B}{2}\] |
| D. | \[90{}^\circ -\frac{B}{2}\] |
| E. | None of these |
| Answer» E. None of these | |
| 1265. |
\[l,m,n\] are parallel lines. If p intersects them at A, B, C and q at D, E, F then |
| A. | AB= DE and BC = EF always |
| B. | at least one of the pairs AB, DE and BC, EF are necessarily equal. |
| C. | at least one of the pairs AB, BC and DE, EF are necessarily equal |
| D. | \[\frac{AB}{BC}=\frac{DE}{EF}\] |
| Answer» E. | |
| 1266. |
In the adjoining figure of \[\angle ABC,\text{ }\angle BCA=120{}^\circ \] and \[AB=c,\text{ }BC=a,\text{ }AC=b\] then: |
| A. | \[{{c}^{2}}={{a}^{2}}+{{b}^{2}}+ba\] |
| B. | \[{{c}^{2}}={{a}^{2}}+{{b}^{2}}-ba\] |
| C. | \[{{c}^{2}}={{a}^{2}}+{{b}^{2}}-2ba\] |
| D. | \[{{c}^{2}}={{a}^{2}}+{{b}^{2}}+2ba\] |
| E. | None of these |
| Answer» B. \[{{c}^{2}}={{a}^{2}}+{{b}^{2}}-ba\] | |
| 1267. |
It is known that if \[\mathbf{a}\text{ }+\text{ }\mathbf{b}\text{ }+\text{ }\mathbf{c}\text{ }=\text{ }\mathbf{18}\] then\[a + b + c +d= 18+d\]. The Euclid?s axiom that illustrates this statement is __________ |
| A. | First axiom |
| B. | Second axiom |
| C. | Third axiom |
| D. | Fourth axiom |
| E. | None of these |
| Answer» C. Third axiom | |
| 1268. |
Match List \[{{H}_{2}}\] with List \[{{H}_{1}}\] and select the correct answer using the codes given below the lists:List - I (Regular plane figure)List - II (Measure of interior angles)I. Triangle(A) \[30{}^\circ \]II. Square(B) \[60{}^\circ \]III. Pentagon(C) \[108{}^\circ \]IV. Hexagon(D) \[90{}^\circ \] (E) \[120{}^\circ \]Codes: |
| A. | I-D, II-A, III-B, IV-E |
| B. | I-B, II-D, III-C, IV-E |
| C. | I-A, II-D, III-C, IV-B |
| D. | I-B, II-C, III-A, IV-D |
| Answer» C. I-A, II-D, III-C, IV-B | |
| 1269. |
The point at which the two coordinate axes meet is called ____. |
| A. | Abscissa |
| B. | Ordinate |
| C. | Origin |
| D. | Quadrant |
| Answer» D. Quadrant | |
| 1270. |
The value of \['x'\] in the ordered pair \[(x,-8)\] if the ordinate of the pair is 4 more than the abscissa is ___. |
| A. | -4 |
| B. | -8 |
| C. | -12 |
| D. | 4 |
| Answer» D. 4 | |
| 1271. |
If \[(x+3,5)=(2,\,2-y)\] then the values of the \[x\] and y respectively are |
| A. | 5, 3 |
| B. | -1, -3 |
| C. | 0, -3 |
| D. | 1, 3 |
| Answer» C. 0, -3 | |
| 1272. |
The coordinate axes divide the plane into |
| A. | One part |
| B. | Two parts |
| C. | Three parts |
| D. | Four parts |
| Answer» E. | |
| 1273. |
The axis on which the point (0, - 4) lie, is |
| A. | Positive x-axis |
| B. | Negative x-axis |
| C. | Positive y-axis |
| D. | Negative y-axis |
| Answer» E. | |
| 1274. |
Match the following. Column-I Column-II (P) The area of \[\Delta OAB\](i) with O(0, 0),A{4, 0) and B (0, 8) is 14 sq. units (Q) The area of \[\Delta ABC\](ii) with A (2, 0), 6(6, 0) and C (4, 6) is 16 sq. units (R) The area of \[\Delta OAB\](iii) with O(0, 0),A(7, 0) and B (0,4) is 12 sq. units |
| A. | \[(P)\to (iii),(Q)\to (i),(R)\to (iii)\] |
| B. | \[(P)\to (iii),(Q)\to (i),(R)\to (ii)\] |
| C. | \[(P)\to (iii),(Q)\to (ii),(R)\to (i)\] |
| D. | \[(P)\to (ii),(Q)\to (iii),(R)\to (i)\] |
| Answer» E. | |
| 1275. |
In the given figure, PQRS is a rectangle with its centre at origin and length PQ = 2a units and breadth QR = 2b units. Find coordinates of all of its vertices. |
| A. | P(a, - b), Q(a, b), R(-a, b), S(-a, -b) |
| B. | P(a, - b), Q(a, b), R(a, - b), S(-a, -b) |
| C. | P(-a, b), Q(a, b), R(a, - b), S (-a, - b) |
| D. | P(-a, b), Q(a, 6), R(a, - b), S(-a, b) |
| Answer» D. P(-a, b), Q(a, 6), R(a, - b), S(-a, b) | |
| 1276. |
In the given figure, PQRS is a rhombus whose diagonal PR and QS are along coordinate axis and PR = 12 units and QS = 6 units. Now, if T is a point which is 5 spaces right and 2 spaces above S. Find: (i) sum of abscissae of P and T. (ii) sum of ordinates of Q, R and T. |
| A. | (i) (ii) -1 2 |
| B. | (i) (ii) 1 -2 |
| C. | (i) (ii) 1 2 |
| D. | (i) (ii) -1 -2 |
| Answer» B. (i) (ii) 1 -2 | |
| 1277. |
Fill in the blanks. (i) Point B is 3 spaces right and one space above from the point\[A(-1,-2).\]So point B lies in quadrant P. (ii) Point B is 40 spaces left and 0.02 spaces above from the point A (20, 0.18). So point B lies in quadrant Q. (iii) Point B is 15 spaces right and 15 spaces below from the point A (-15,0). So, coordinate of point B are R. (iv) A man moves 30 metres towards Northand then moves 50 metres towards South and finally 10 metres towards East. Considering his initial position at origin, the coordinate of his final destination are S. |
| A. | P Q R S II I (0,15) (-10,20) |
| B. | P Q R S IV II (0.-15) (10,-20) |
| C. | P Q R S II IV (10,-20) (0,-15) |
| D. | P Q R S I II (0,15) (10,20) |
| Answer» C. P Q R S II IV (10,-20) (0,-15) | |
| 1278. |
State T' for true and 'F' for false. (i) Origin is the only point which lies on both the axes. (ii) The point (2, -2) and point (-2, 2) lies in the same quadrant. (iii) A point lies on y-axis at a distance 2 units from x-axis then it's coordinates are (2, 0). (iv) Abscissa of a point is positive in I quadrant and also in II quadrant. |
| A. | (i) (ii) (iii) (iv) F T F T |
| B. | (i) (ii) (iii) (iv) T F F F |
| C. | (i) (ii) (iii) (iv) F T T F |
| D. | (i) (ii) (iii) (iv) T F T F |
| Answer» C. (i) (ii) (iii) (iv) F T T F | |
| 1279. |
The signs of the abscissa and ordinate of a point in the fourth quadrant respectively are___. |
| A. | +, + |
| B. | -, - |
| C. | +, - |
| D. | -, + |
| Answer» D. -, + | |
| 1280. |
(2, 1) is a point, which belongs to the line____. |
| A. | \[x=y\] |
| B. | \[~y=x+1\] |
| C. | \[~2y=x\] |
| D. | \[~xy=1\] |
| Answer» D. \[~xy=1\] | |
| 1281. |
The point (3, 0) lies ____. |
| A. | On \[x-\]axis |
| B. | On y-axis |
| C. | In I quadrant |
| D. | None of these |
| Answer» B. On y-axis | |
| 1282. |
The perpendicular distance of the point (-7, 8) from the \[x-\]axis is ____. |
| A. | 7 |
| B. | 8 |
| C. | -7 |
| D. | 1 |
| Answer» D. 1 | |
| 1283. |
The area of the triangle formed by the points P (0, 1), 0 (0, 5) and R (3, 4) is |
| A. | 16 sq. units |
| B. | 8 sq. units |
| C. | 4 sq. units |
| D. | 6 sq. units |
| Answer» E. | |
| 1284. |
DIRECTION: Study the graph and answer the following questions. The difference between ordinates of R and Q is ____. |
| A. | 8 |
| B. | 3 |
| C. | 2 |
| D. | 14 |
| Answer» D. 14 | |
| 1285. |
DIRECTION: Study the graph and answer the following questions. The point whose abscissae is 2 more than the ordinate is ____. |
| A. | P |
| B. | R |
| C. | O |
| D. | S |
| Answer» D. S | |
| 1286. |
DIRECTION: Study the graph and answer the following questions. Sum of abscissae of point P and R is |
| A. | 5 |
| B. | 6 |
| C. | 9 |
| D. | -3 |
| Answer» E. | |
| 1287. |
DIRECTION: Study the graph and answer the following questions. The coordinate of point S are ____. |
| A. | (4, 5) |
| B. | (-5,-4) |
| C. | (-4,-5) |
| D. | (5, 4) |
| Answer» C. (-4,-5) | |
| 1288. |
Two points having same abscissa but different ordinates lie on ____. |
| A. | \[x-\]axis |
| B. | \[y-\]axis |
| C. | A line parallel to y-axis |
| D. | A line parallel to\[x-\]axis |
| Answer» D. A line parallel to\[x-\]axis | |
| 1289. |
The signs of abscissa and ordinate of a point in quadrant II are respectively____. |
| A. | \[(+,-)\] |
| B. | \[(-,+)\] |
| C. | \[(-,-)\] |
| D. | \[(+,+)\] |
| Answer» C. \[(-,-)\] | |
| 1290. |
The linear equation \[y=2x+3\]cuts the y-axis at ____. |
| A. | (0, 3) |
| B. | (0, 2) |
| C. | \[\left( \frac{3}{2},0 \right)\] |
| D. | \[\left( \frac{2}{3},0 \right)\] |
| Answer» B. (0, 2) | |
| 1291. |
If \[a={{b}^{x}}\], \[b={{c}^{y}}\], \[c={{a}^{z}}\], then xyz is |
| A. | - 1 |
| B. | 0 |
| C. | 1 |
| D. | \[abc\] |
| Answer» D. \[abc\] | |
| 1292. |
In the given figure, ABCD is a parallelogram, \[AL\bot BC,\,AM\bot CD,\]\[AL=4cm\]and AM = 5 cm. If BC= 6.5 cm, then find CD. |
| A. | 5.2 cm |
| B. | 8.7 cm |
| C. | 6.5 cm |
| D. | 3.3 cm |
| Answer» B. 8.7 cm | |
| 1293. |
In the given figure, O is the centre of the circle. PQ is a chord of the circle and R is any point on the circle. If \[\angle PRQ=l\]and\[\angle OPQ=m,\]what is the value of\[l+m?\] |
| A. | Greater than \[90{}^\circ \] |
| B. | Less than \[90{}^\circ \] |
| C. | Equal to \[180{}^\circ \] |
| D. | Equal to \[90{}^\circ \] |
| Answer» E. | |
| 1294. |
In the given figure, O is the centre of the circle, \[OM\bot BC,OL\bot AB,ON\bot AC\]and\[OM=ON=OL.\]What is\[\Delta ABC?\] |
| A. | Right angled triangle |
| B. | Scalene triangle |
| C. | Isosceles triangle |
| D. | Equilateral triangle |
| Answer» E. | |
| 1295. |
In the given figure; O is the centre of the circle and \[\angle BDC={{42}^{o}}.\]The measure of\[\angle BAC\]is _____. |
| A. | \[{{42}^{\text{o}}}\] |
| B. | \[{{48}^{o}}\] |
| C. | \[{{58}^{o}}\] |
| D. | \[{{52}^{o}}\] |
| Answer» B. \[{{48}^{o}}\] | |
| 1296. |
PQRS is a cyclic quadrilateral such that PR is a diameter of the circle. If\[\angle QPR={{67}^{o}}\]and \[\angle SPR={{72}^{o}},\]then \[\angle QRS=\_\_\_\_.\] |
| A. | \[{{41}^{o}}\] |
| B. | \[{{23}^{o}}\] |
| C. | \[{{67}^{o}}\] |
| D. | \[{{18}^{o}}\] |
| Answer» B. \[{{23}^{o}}\] | |
| 1297. |
In the given figure, D is the mid-point of BC and L is the mid-point of AD. If ar \[(\ \Delta ABL)=x\]ar \[(\Delta ABC),\] what is the value of\[x?\] |
| A. | 2 |
| B. | \[\frac{1}{2}\] |
| C. | \[\frac{1}{4}\] |
| D. | 4 |
| Answer» D. 4 | |
| 1298. |
Choose the rational number which does not lie between rational numbers \[\frac{3}{5}\] and \[\frac{2}{3}\] |
| A. | \[\frac{46}{75}\] |
| B. | \[\frac{47}{75}\] |
| C. | \[\frac{49}{75}\] |
| D. | \[\frac{50}{75}\] |
| Answer» E. | |
| 1299. |
On a map, 1 inch represents 150 km. what is the actual distance between the two cities, if they are 4 % inches apart? |
| A. | 225 |
| B. | 300 |
| C. | 525 |
| D. | 675 |
| Answer» E. | |
| 1300. |
In\[\Delta ABC,\,AB=8\,cm.\]If the altitudes corresponding to AB and BC are 4 cm and 5 cm respectively, find the measure of BC. |
| A. | 6.4 cm |
| B. | 4.6 cm |
| C. | 5.4 cm |
| D. | 4.5 cm |
| Answer» B. 4.6 cm | |