Home
Class 12
MATHS
The lines joining the origin to the poin...

The lines joining the origin to the point of intersection of `x^2+y^2+2gx+c=0 and x^2+y^2+2fy-c=0` are at right angles if

A

`g^2+f^2=c`

B

`g^2-f^2=c`

C

`g^2-f^2=2c`

D

`g^2+f^2 =c^2`

Text Solution

Verified by Experts

The correct Answer is:
c
Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

The lines joining the origin to the points of intersection of 2x^2 + 3xy -4x +1 = 0 and 3x + y=.1 given by

Find the equations of the straight lines joining the origin to the points of intersection of x^2+y^2-4x-2y=0 and x^2+y^2-2x-4y=4 .

Show that for all values of lambda , the lines joining the origin to the points common to x^2+2hxy-y^2+gx+fy=0 and fx -gy= lambda are at right angles .

If the lines joining the origin to the intersection of the line y=nx+2 and the curve x^2+y^2=1 are at right angles, then the value of n^2 is

Prove that The lines joining the origin to the points of intersection of the line 3x-2y =1 and the curve 3x^2 + 5xy -3y^2+2x +3y= 0 , are are at right angles.

If the straight line joining the origin and the points of intersection of y=mx+1 and x^2+y^2=1 be perpendicular to each other , then find the value of m.

The pair of lines joining origin to the points of intersection of, the two curves ax^2+2hxy + by^2+2gx = 0 and a^'x^2 +2h^'xy + b^'y^2 + 2g^'x = 0 will be at right angles, if

If the straight lines joining origin to the points of intersection of the line x+y=1 with the curve x^2+y^2 +x-2y -m =0 are perpendicular to each other , then the value of m should be

The equation of the line joining the point {3, 5) to the point of intersection of the lines 4x + y - 1 = 0 and 7x - 3y - 35 = 0 is equidistant from the points (0,0) and (8,34) .

The angle between the pair of straight lines formed by joining the points of intersection of x^2+y^2=4 and y=3x+c to the origin is a right angle. Then c^2 is equal to