Home
Class 12
MATHS
If theta is an angle by which axes are r...

If `theta` is an angle by which axes are rotated about origin and equation `ax^2+2hxy+by^2=0`
does not contain xy term in the new system, then prove that `tan2theta=(2h)/(a-b)`.

A

`((a-b))/(2h)`

B

`(2h)/((a+b))`

C

`((a+b))/(2h)`

D

`(2h)/((a-b))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Option Correct Type Questions)|10 Videos
  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|6 Videos
  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 4|8 Videos
  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|29 Videos
  • PARABOLA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|36 Videos

Similar Questions

Explore conceptually related problems

Find dy/dx if ax^2+2hxy+by^2=0

If asin^(2)theta+bcos^(2)theta=c , then prove that tan^(2)theta=(c-b)/(a-c)

If the axes are rotated through an angle 30^(0) then find the coordinates of (-2,4) in the new system.

Find the angle through which the axes be rotated to remove the xy term from the equation ax^(2)+2hxy+ay^(2) = 0

If the equation ax^2 +2hxy + by^2 = 0 and bx^2 - 2hxy + ay^2 =0 represent the same curve, then show that a+b=0 .

The equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 repersents a hyperbola if

The angle of rotation of axes to remove xy term in the equation 9x^(2) + 2sqrt(3)xy + 7y^(2)=10 is

If the equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents a pair of parallel lines, then

If one of the lines represented by the equation ax^2+2hxy+by^2=0 is coincident with one of the lines represented by a'x^2+2h'xy+b'y^2=0 , then

If the coordinate axes are the bisectors of the angles between the pair of lines ax^(2)+2hxy+by^(2)=0 , then