Home
Class 11
MATHS
If a line through A(1, 0) meets the line...

If a line through A(1, 0) meets the lines of the pair `2x^2 - xy = 0` at P and Q. If the point R is on the segment PQ such that AP, AR, AQ are in H.P then find the locus of the point R.

Text Solution

Verified by Experts

The correct Answer is:
4x+y = 0
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise EXERCISE-5.3 LONG ANSWER QUESTIONS|11 Videos

  • MULTIPLE PRODUCT OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|62 Videos

  • PERIODICITY AND EXTEME VALUES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE) LEVEL-I(MAIN) Extreme values ( Single answer type questions )|23 Videos

Similar Questions

Explore conceptually related problems

If P be any point on the plane lx+my+nz =p and Q be a point on the line OP such that OP.OQ = p^(2) then find the locus of the point Q.

From a point (2, 0) the feet of perpendiculars to the lines of the pair 2y^2 - 3xy + x^2 = 0 are P and Q then find the equation of the line PQ.

If a line is drawn through a point A(3,4) to cut the circle x^(2)+y^(2)=4 at P and Q then AP .AQ=

P and Q are points on the line joining A(-2, 5), B(3, -1) such that AP = PQ = QB. Then the mid point of PQ is

A straight line through the origin O meets the parallel lines 4x+2y=9 and 2x+y+6=0 at points P and Q respectively. Then the point O divides the segment PQ in the ratio

A straight line through the origin O meets the parallel lines 4x+2y=9 and 2x+y+6=0 at points P and Q respectively. Then the point O divides the segment PQ in the ratio

If P is (3, 1) and Q is a point on the curve y^2 = 8x , then the locus of the mid-point of the line segment PQ is

A straight line with slope 1 passes through Q(-3,5) meets the line x+y-6=0 at P. Find the distance PQ.