Home
Class 12
MATHS
If the equation of the pair of straight ...

If the equation of the pair of straight lines passing through the point `(1,1)` , one making an angle `theta` with the positive direction of the x-axis and the other making the same angle with the positive direction of the y-axis, is `x^2-(a+2)x y+y^2+a(x+y-1)=0,a!=2,` then the value of `sin2theta` is

A

a-2

B

a+2

C

`(2)/((a+2))`

D

`2/a`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|6 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|9 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 5|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

If a line makes an angle of pi/4 with the positive directions of each of x-axis and y-axis, then the angle that the line makes with the positive direction of z-axis is

Find slope of the line that makes angle (2pi)/3 with the positive direction of x-axis.

Find the equation of a st. line, which passes through the point (-2,3) and makes an angle of 60^@ with the positive direction of x-axis.

A line makes angles 45^@ and 60^@ with the positive direction of the axis of x and y makes with the positive direction of z axis, an angle of:

Find the equation of the straight line bisecting the segment joining the points (5, 3) and (4,4) and making an angle of 45^@ with the positive direction of X-axis.

Find the equation of the straight line passing through the point (2,3) and through the point of intersection of the lines 2x-3y+7=0 and 7x+4y+2=0

Find the equation of a line through the origin, which makes an angle of 45^@ with the positive direction of x-axis.

Find the equation of the line, which cuts off intercept 4 on the x-axis and makes an angle 60^@ with positive direction of the x-axis.

A line passing through the point (3, 0) makes an angle 30^@ with the positive direction of x-axis. If this line is rotated through an angie of 15^@ in clockwise direction, find its equation in new position.

Show that the equation of the line passing through the origin and making an angle theta with the line y=mx+c is y/x = (m+-tan theta)/(1 overset(-)(+)m tan theta) .