The angles at which the circles (x-1)^2+...

The angles at which the circles `(x-1)^2+y^2=10a n dx^2+(y-2)^2=5` intersect is `pi/6` (b) `pi/4` (c) `pi/3` (d) `pi/2`

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The angle subtended by common tangents of two ellipses 4(x-4)^2+25 y^2=100a n d4(x+1)^2+y^2 =4 at the origin is pi/3 (b) pi/4 (c) pi/6 (d) pi/2

The angle subtended by common tangents of two ellipses 4(x-4)^2+25 y^2=100a n d4(x+1)^2+y^2 at the origin is pi/3 (b) pi/4 (c) pi/6 (d) pi/2

If the line xcostheta=2 is the equation of a transverse common tangent to the circles x^2+y^2=4 and x^2+y^2-6sqrt(3)x-6y+20=0 , then the value of theta is (5pi)/6 (b) (2pi)/3 (c) pi/3 (d) pi/6

The angle of intersection between the curves x^(2) = 4(y +1) and x^(2) =-4 (y+1) is (a) pi/6 (b) pi/4 (c) 0 (d) pi/2

Then angle of intersection of the normal at the point (-5/(sqrt(2)),3/(sqrt(2))) of the curves x^2-y^2=8 and 9x^2+25 y^2=225 is 0 (b) pi/2 (c) pi/3 (d) pi/4

The angle of intersection of the parabola y^2=4\ a x and x^2=4a y at the origin is (a) pi//6 (b) pi//3 (c) pi//2 (d) pi//4

Area lying in the first quadrant and bounded by the circle x^2+y^2=4 and the lines x= 0 a n dx= 2 is(A) pi (B) pi/2 (C) pi/3 (D) pi/4

If (sqrt(3))b x+a y=2a b touches the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 , then the eccentric angle of the point of contact is pi/6 (b) pi/4 (c) pi/3 (d) pi/2

lf the eccentricity of the hyperbola x^2-y^2(sec)^2alpha=5 is sqrt3 times the eccentricity of the ellipse x^2(sec)^2alpha+y^2=25, then a value of alpha is : (a) pi/6 (b) pi/4 (c) pi/3 (d) pi/2

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