Home
Class 12
MATHS
If circumcentre of an equilateral triang...

If circumcentre of an equilateral triangle inscribed in `x^(2)/a^(2) + y^(2)/b^(2) = 1,` with vertices having eccentric angles `alpna, beta, gamma,` respectively is `(x_(1), y_(1))` then `sum cos alpha cos beta + sum sin alpha sin beta =`

A

`(9x_(1)^(2))/(2a^(2))+(9y_(1)^(2))/(2b^(2))-(3)/(2)`

B

`(x_(1)^(2))/(2a^(2))+(y_(1)^(2))/(2b^(2))-(5)/(2)`

C

`(x_(1)^(2))/(9a^(2))+(y_(1)^(2))/(9b^(2))-(5)/(9)`

D

`(x_(1)^(2))/(a^(2))+(y_(1)^(2))/(b^(2))-(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If the direction angles of a line are alpha, beta and gamma respectively, then cos 2 alpha + cos 2 beta + cos 2gamma is equal to

If alpha , beta , gamma are the roots of x^3 +px^2 +qx +r=0 then find sum alpha^2 beta + sum alpha beta ^2

Area of the triangle formed by the tangents at the point on the ellipse x^2/a^2+y^2/b^2=1 whose eccentric angles are alpha,beta,gamma is

If a vector vec(A) make angles alpha , beta and gamma , respectively , with the X , Y and Z axes , then sin^(2) alpha + sin^(2) beta + sin^(2) gamma =

Prove that (sin alpha cos beta + cos alpha sin beta) ^(2) + (cos alpha coa beta - sin alpha sin beta) ^(2) =1.

If a line makes angles alpha,beta,gamma with the axes respectively tehn cos2alpha+cos2beta+cos2gamma= -2 b. -1 c. 1 d. 2

If vec(A) makes an angle alpha, beta and gamma from x,y and z axis respectively then sin^(2)alpha+sin^(2) beta+sin^(2) gamma=

Vector vecP angle alpha,beta and gamma with the x,y and z axes respectively. Then sin^(2)alpha+sin^(2)beta+sin^(2)gamma=

If sin alpha sin beta - cos alpha cos beta + 1=0, then the value of 1+cot alpha tan beta is

Prove that : (cos alpha + cos beta)^2 + (sin alpha + sin beta)^2 = 4 cos^2 ((alpha-beta)/(2))