If \[\mathbf{x=}\frac{\sqrt{\mathbf{7}}\mathbf{+}\sqrt{\mathbf{5}}}{\sqrt{\mathbf{7}}\mathbf{-}\sqrt{\mathbf{5}}}\] and \[\mathbf{y=}\frac{\sqrt{\mathbf{7}}\mathbf{-}\sqrt{\mathbf{5}}}{\sqrt{\mathbf{7}}\mathbf{+}\sqrt{\mathbf{5}}}\], then find the value of \[\frac{{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+xy+}{{\mathbf{y}}^{\mathbf{2}}}}{{{\mathbf{x}}^{\mathbf{2}}}\mathbf{-xy+}{{\mathbf{y}}^{\mathbf{2}}}}\]

If \[\mathbf{x=}\frac{\sqrt{\mathbf{7}}\mathbf{+}\sqrt{\mathbf{5}}}{\s

1.	If \[\mathbf{x=}\frac{\sqrt{\mathbf{7}}\mathbf{+}\sqrt{\mathbf{5}}}{\sqrt{\mathbf{7}}\mathbf{-}\sqrt{\mathbf{5}}}\] and \[\mathbf{y=}\frac{\sqrt{\mathbf{7}}\mathbf{-}\sqrt{\mathbf{5}}}{\sqrt{\mathbf{7}}\mathbf{+}\sqrt{\mathbf{5}}}\], then find the value of \[\frac{{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+xy+}{{\mathbf{y}}^{\mathbf{2}}}}{{{\mathbf{x}}^{\mathbf{2}}}\mathbf{-xy+}{{\mathbf{y}}^{\mathbf{2}}}}\]
A.	\[\frac{137}{143}\]
B.	\[\frac{143}{137}\]
C.	\[\frac{117}{128}\]
D.	\[\frac{128}{117}\]
E.	None of these
Answer» C. \[\frac{117}{128}\]

Discussion

No Comment Found

Related MCQs

A rectangular water tank is\[\mathbf{160m}\times \mathbf{20m}\]. Water flows at the opening at a speed of 10 km/hr. The water level will rise in the tank in half an hour by
In the given figure below, the external bisector of \[\angle \mathbf{B}\] and \[\angle C\] of \[\Delta \mathbf{ABC}\] (where AB and AC extended to E and F respectively) meet at point P. If \[\angle \mathbf{BAC}=\mathbf{12}{{\mathbf{0}}^{{}^\circ }}\], then the measure of \[\angle \mathbf{BPC}\] is
Direction: The pie chart given below shows the marks obtained by a student in an examination. If the total marks obtained by him in the examination were 720, answer the questions given below based on this pie chart. How many more marks were obtained by the student in English than those in Science?
What is the median of the following data set? Steam Leaf 2 5 8 9 3 1 3 3 6 8 4 0 5 6 5 1 3 6 0 7 Scale 2/5=25
The stem-and-leaf plot alongside shows the ten pin bowling scores of John. What percentage of John?s Scores have been 100 or higher?
The table below shows the number of passengers in the car at a above in movie theatre. What is the range of given data? Number of passengers 1 2 3 4 5 6 Frequency 2 10 10 17 11 5
16 men complete a work in 12 days. They worked for 4 days. To finish the remaining work in 4 days, how many more men should join in?
Direction: Study the bar diagram given below carefully and answer the following questions based on it. By how much percent is the birth rate of Japan less than the birth rate of Australia?
The list price of a LED TV is Rs. 27000. The shopkeeper sold it by allowing a 5% discount and charged 6% sales tax on it. By mistake, while calculating the bill, he considered 4% discount and 5% sales tax. As a result his customer has paid ________.
If cosec \[\mathbf{A}=\sqrt{\mathbf{5}}\]then match the column Column I Column II A Tan A P \[2/\sqrt{\mathbf{5}}\] B Sin A Q \[\frac{3}{2}\] C Cos A R \[\frac{1}{\sqrt{5}}\] D \[\frac{1}{\tan A}+\frac{\sin A}{1+\cot A}\] S \[\frac{1}{2}\]

Discussion

No Comment Found

Related MCQs

Reply to Comment