Home
Class 12
MATHS
The angle between the lines (x^(2)+y^(2)...

The angle between the lines `(x^(2)+y^(2))sin^(2)alpha=(x cos beta-y sin beta)^(2)` is

Text Solution

Verified by Experts

The correct Answer is:
`therefore theta =2alpha`
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 1|9 Videos
  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 2|10 Videos
  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|31 Videos
  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

Similar Questions

Explore conceptually related problems

The angle between the pair of straight lines y^2sin^2 theta-xy sin ^2 theta +x^2(cos ^2theta -1) =0 is

The equation of the bisectors of the angles between the two intersecting lines (x-3)/(cos theta ) = (y+5)/(sin theta) and (x-3)/(cos theta) = (y+5)/(sin theta) are (x-3)/(cos alpha) = (y+5)/(sin alpha) and (x-3)/beta = (y+5)/gamma , then

lf cos^2 alpha -sin^2 alpha = tan^2 beta , then show that tan^2 alpha = cos^2 beta-sin^2 beta .

The lines x cos alpha + y sin alpha = P_1 and x cos beta + y sin beta = P_2 will be perpendicular, if :

Using vectors, prove that sin (alpha+beta)=sin alpha cos beta+ cos alpha sin beta .

Using vectors prove that sin(alpha - beta) = sin alpha cos beta- cos alpha sin beta .

Find the area enclosed between the curve y= sin x and y = cos x that lies between thhe lines x= 0 and x= pi/2 .

Prove that the area of the parallelogram formed by the lines x cos alpha+y sin alpha=p ,x cos alpha+y sin alpha=q , x cos beta+y sin beta=r and x cos beta+y sin beta=s is ±(p−q)(r−s)cosec(α−β).

If A=[(cos^(2)alpha, cos alpha sin alpha),(cos alpha sin alpha, sin^(2)alpha)] and B=[(cos^(2)betas,cos beta sin beta),(cos beta sin beta, sin^(2) beta)] are two matrices such that the product AB is null matrix, then alpha-beta is