Home
Class 12
MATHS
if the equation 12x^2+7xy-py^2-18x+qy+6=...

if the equation `12x^2+7xy-py^2-18x+qy+6=0` represents two perpendicular lines , then the value of p and q are

A

12,1

B

12,-1

C

`12,(23)/2`

D

`-(23)/2`

Text Solution

Verified by Experts

The correct Answer is:
A, C
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 5|10 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|12 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 3|9 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 equation 3ax^2+9xy+(a^2-2)y^2=0 represents two perpendicular straight lines for

If the equation px^(2)+(2-q)xy+3y^(2)-6qx+30y+6q=0 represents a circle, then find the values of p and q.

The equation 16x^2+y^2+8xy-74x-78y+212=0 represents:

For what value of lambda does the equation 12x^2-10xy+2y^2+11x-5y+lambda=0 represent a pair of straight lines ? Find their equations and the angle between them.

If px^2-10xy + 12y^2+ 5x - 16y - 3 = 0 represents a pair of straight lines, then value of p is :

if lambda x^2+10xy+3y^2-15x-21y+18=0 represents a pair of straight lines. Then , the value of lambda is

Prove that the equartion 3y^(2)-8xy-3x^(2)-29x+3y-18=0 represents two straight lines. Find also their point of intersection and the angle between them.

For What value of lamda the equation of conic 2xy+4x-6y+ lamda =0 represents two intersecting straight lines, if lamda=17 , then this equation represents?

Prove that the equation 8x^2+8xy+2y^2+26x+13y+15=0 represents a pair of parallel straight lines . Also find the perpendicular distance between them .

The equation 3x^2+2hxy+3y^2=0 represents a pair of straight lines passing through the origin . The two lines are