Home
Class 12
MATHS
A straight line through P(-2,-3) cuts th...

A straight line through P(-2,-3) cuts the pair of straight lines `x^2+3y^2+4xy-8x-6y-9=0` in Q and R Find the equation of the line if `PQ.PR=20`

Text Solution

Verified by Experts

The correct Answer is:
3x - y + = 0
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE

    FIITJEE|Exercise SOLVED PROBLEMS (OBJECTIVE)|31 Videos
  • STRAIGHT LINE

    FIITJEE|Exercise Exercise 1|3 Videos
  • STRAIGHT LINE

    FIITJEE|Exercise NUMERICAL BASED|4 Videos
  • STATISTICS

    FIITJEE|Exercise Comprehension Type|6 Videos
  • TEST PAPERS

    FIITJEE|Exercise MATHEMATICS|328 Videos

Similar Questions

Explore conceptually related problems

A straight line through the point A(-2, -3) cuts the line x+3y=9 and x+y+1=0 at B and C respectively. Find the equation of the line if AB.AC = 20 .

Find the angle between the pair of straight lines x^(2) - 3xy +2y^(2) = 0

A straight line through the point A (-2,-3) cuts the line x+3y=9 and x+y+1=0 at B and C respectively. If AB.AC =20 then equation of the possible line is

If the pair of straight lines xy-x-y+1=0 & the line ax+2y-3=0 are concurrent then a=

The point P(a,b) lies on the straight line 3x+2y=13 and the point Q(b,a) lies on the straight line 4x-y=-5 , then the equation of the line PQ is

Angle between the pair of straight lines x^(2) - xy - 6y^(2) - 2x + 11y - 3 = 0 is

A straight line L passing through the point P(-2,-3) cuts the lines, x + 3y = 9 and x+y+1=0 at Q and R respectively. If (PQ) (PR) = 20 then the slope line L can be (A) 4 (B) 1 (C) 2 (D) 3

The point P (a, b) lies on the straight line 3x – 2y = 13 and the point Q (b, a) lies on the straight line 4x – y = 5 then the equation of line PQ is

Find the equation of a straight line passing through the point of intersection of the lines : 3x+y-9=0 and 4x+3y-7=0 and perpendicular to the line 5x-4y+1=0

A straight line through the point A(1,1) meets the parallel lines 4x+2y=9&2x+y+6=0 at points P and Q respectively.Then the point A divides the segment PQ in the ratio: