The equation sin^2theta=(x^2+y^2)/(2x y)...

The equation `sin^2theta=(x^2+y^2)/(2x y),x , y!=0` is possible if

`x=y`

`x=-y`

`2x=-y`

none of these

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

TRIGONOMETRIC RATIOS AND IDENTITIES
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos
TRIGONOMETRIC RATIOS AND IDENTITIES
OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|13 Videos
TRIGONOMETRIC EQUATIONS AND INEQUATIONS
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

Show that the equation sec^2 theta=(4xy)/(x+y)^2 is only possible when x=y

Prove that sin^2theta=(x+y)^2/(4xy) is possible for real values of x and y only when x = y , y!=0 and x!=0 .

If sin^(2)theta=(x^(2)+y^(2)+1)/(2x) . Find the value of x and y.

A curve satisfies the differential equation (dy)/(dx)=(x+1-xy^2)/(x^2y-y) and passes through (0,0) (1) The equation of the curve is x^2+y^2+2x=x^2y^2 (2) The equation of the curve is x^2+y^2+2x+2y=x^2y^2 (3) x=0 is a tangent to curve (4) y=0 is a tangent to curve

The equation x^(2)y^(2)-9y^(2)-6x^(2)y+54y=0 represents

If the conics whose equations are S_1:(sin^2theta)x^2+(2htantheta)x y+(cos^2theta)y^2+32 x+16 y+19=0 S_1:(sin^2theta)x^2-(2h^(prime)cottheta)x y+(sin^2theta)y^2+16 x+32 y+19=0 intersect at four concyclic points, where theta[0,pi/2], then the correct statement(s) can be h+h^(prime)=0 (b) h-h^(prime)=0 theta=pi/4 (d) none of these

The equation of the parabola whose vertex is (a ,0) and the directrix has the equation x+y=3a is a. x^2+y^2+2x y+6a x+10 a y+7a^2=0 b. x^2-2x y+y^2-6a x+10 a y+7a^2=0 c. x^2-2x y+y^2+6a x+10 a y+7a^2=0 d.None of these

Suppose that for some angles xa n dy , the equations sin^2x+cos^2y=(3a)/2a n dcos^2x+sin^2y=(a^2)/2 hold simultaneously. the possible value of a is ___________

The equation a^2x^2+2h(a+b)x y+b^2y^2=0 and a x^2+2h x y+b y^2=0 represent

OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise

The vlaue of sqrt3cot20^(@)-4cos20^(@), is
Text Solution
|
Show that sqrt(3)\ cos e c\ 20^0-sec20^0=4.
Text Solution
|
The equation sin^2theta=(x^2+y^2)/(2x y),x , y!=0 is possible if
Text Solution
|
The value of sin(pi+theta)sin(pi-theta)cosec^(2)theta is equal to
Text Solution
|
If (sin(x+y))/(sin(x-y))=(a+b)/(a-b) , show that (tanx)/(tany)=a/b .
Text Solution
|
if sin x + sin^2 x = 1, then the value of cos^2 x + cos^4x is
Text Solution
|
If tan(x/2)=cosec x-sin x, then find the value of tan^(2) (x/2).
Text Solution
|
If cosA=3/4, then 32 sin (A/2) sin ((5A) /2)= ------------- ...
Text Solution
|
Prove that: (1+cos. (pi)/8)(1+cos. (3pi)/8)(1+cos. (5pi)/8)(1+cos. (7...
Text Solution
|
If t a n^2theta=2t a n^2varphi+1 , prove that cos2theta+s in^2varphi=0...
Text Solution
|
If sin2theta=cos3thetaa n dtheta is an acute angle, then sintheta equa...
Text Solution
|
If f(x)=cos^2theta+sec^2theta, then f(x)<1 (b) f(x)=1 2>f(x)>1 (d)...
Text Solution
|
The value of sinpi/(14)sin(3pi)/(14)sin(5pi)/(14)sin(7pi)/(14)sin(9pi)...
Text Solution
|
The value of sin(pi/14)sin((3pi)/14)sin((5pi)/14) is
Text Solution
|
If sin(alpha+beta)=1\ a n dsin(alpha-beta)=1/2,\ w h e r e\ 0lt=,\ bet...
Text Solution
|
If cos(theta-alpha)=a and cos(theta-beta)=b then the value of sin^(2)(...
Text Solution
|
If K=sin(pi/(18))sin((5pi)/(18))sin((7pi)/(18)), then the numerical va...
Text Solution
|
Show that tan1^0tan2^0tan89^0=1
Text Solution
|
If 1+sinx+sin^2x+sin^3x+oo is equal to 4+2sqrt(3),0<x<pi, then x is eq...
Text Solution
|
If x cosalpha+y sinalpha=2a, x cos beta+y sinbeta=2aand 2sin""(alp...
Text Solution
|