The area of the triangle formed by joining the origin to the point of intersection of the line `xsqrt(5)+2y=3sqrt(5)` and the circle `x^2+y^2=10` is (a)3 (b) 4 (c) 5 (d) 6

The angle between the lines joining origin to the points of intersection of the line sqrt(3)x+y=2 and the curve y^2-x^2=4 is (A) tan^(-1)(2/(sqrt(3))) (B) pi/6 (C) tan^(-1)((sqrt(3))/2) (D) pi/2

Find the angle between the straight lines joining the origin to the point of intersection of 3x^2+5x y-3y^2+2x+3y=0 and 3x-2y=1

The slope of the line joining A and B where A is (-1,2) and B is the point of intersection of the lines 2x+3y=5 and 3x+4y=7 is:

Find the area of the triangle formed by the line x+y=3 and the angle bisectors of the pair of lines x^2-y^2+4y-4=0

The points of intersection of the line 4x-3y-10=0 and the circle x^2+y^2-2x+4y-20=0 are ________ and ________

Prove that the angle between the lines joining the origin to the points of intersection of the straight line y=3x+2 with the curve x^2+2x y+3y^2+4x+8y-11=0 is tan^(-1)((2sqrt(2))/3)

Show that straight lines joining the origin to the points of intersection of 3x-2y+2=0 and 3x^2+5x-2y^2+4x+5y=0 are at right angles .

Prove that the straight lines joining the origin to the points of intersection of 3x^(2)+5xy-3y^(2)+2x+3y=0 " and " 3x-2y-1=0 are at right angles.

The equation of the locus of the middle point of a chord of the circle x^2+y^2=2(x+y) such that the pair of lines joining the origin to the point of intersection of the chord and the circle are equally inclined to the x-axis is x+y=2 (b) x-y=2 2x-y=1 (d) none of these