If a!=0 and the line 2b x+3c y+4d=0 pass...

If `a!=0` and the line `2b x+3c y+4d=0` passes through the points of intersection of the parabolas `y^2=4a x` and `x^2=4a y ,` then `d^2+(2b+3c)^2=0` `d^2+(3b+2c)^2=0` `d^2+(2b-3c)^2=0` none of these

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If a!=0 and the line 2b x+3c y+4d=0 passes through the points of intersection of the parabolas y^2=4a x and x^2=4a y , then (a) d^2+(2b+3c)^2=0 (b) d^2+(3b+2c)^2=0 (c) d^2+(2b-3c)^2=0 (d)none of these

The area bounded by parabola y^2=4a x\ a n d\ x^2=4a y is (8a^3)/3 b. (16 a^2)/3 c. (32 a^2)/3 d. (64 a^2)/3

Equation of line touching both parabolas y^(2)=4x and x^(2) = -32y is a) x+2y + 4 =0 b) 2x +y4 =0 c) x-2y-4 =0 d) x-2y+4 =0

The equation of the circle passing through the point of intersection of the circles x^2+y^2-4x-2y=8 and x^2+y^2-2x-4y=8 and the point (-1,4) is (a) x^2+y^2+4x+4y-8=0 (b) x^2+y^2-3x+4y+8=0 (c) x^2+y^2+x+y=0 (d) x^2+y^2-3x-3y-8=0

The point of intersection of the tangents of the parabola y^2=4x drawn at the endpoints of the chord x+y=2 lies on (a) x-2y=0 (b) x+2y=0 (c) y-x=0 (d) x+y=0

The equation of the circle passing through the point (1,1) and having two diameters along the pair of lines x^2-y^2-2x+4y-3=0 is a. x^2+y^2-2x-4y+4=0 b. x^2+y^2+2x+4y-4=0 c. x^2+y^2-2x+4y+4=0 d. none of these

The area bounded by the parabola y^2=4a x , the latusrectum and x-axis is 0 b. 4/3a^2 c. 2/3a^2 d. (a^2)/3

If 4a^2+c^2=b^2-4a c , then the variable line a x+b y+c=0 always passes through two fixed points. The coordinates of the fixed points can be (a) (-2,-1) (b) (2,-1) (c) (-2,1) (d) (2,1)

Equation of the circle through origin which cuts intercepts of length a\ a n d\ b on axes is a. x^2+y^2=a x+b y=0 b. x^2+y^2-a x-b y=0 c. x^2+y^2+b x+a y=0 d. none of these

The angle of intersection between the curves, y=x^2 and y^2 = 4x , at the point (0, 0) is (A) pi/2 (B) 0 (C) pi (D) none of these

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