The angle subtended by common tangents o...

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`

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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 at the origin is pi/3 (b) pi/4 (c) pi/6 (d) pi/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

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

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 line tangent to the curves y^3-x^2y+5y-2x=0 and x^2-x^3y^2+5x+2y=0 at the origin intersect at an angle theta equal to (a) pi/6 (b) pi/4 (c) pi/3 (d) pi/2

The distance of a point on the ellipse (x^2)/6+(y^2)/2=1 from the center is 2. Then the eccentric angle of the point is pi/4 (b) (3pi)/4 (c) (5pi)/6 (d) pi/6

The angle between the tangents to the parabola y^2=4a x at the points where it intersects with the line x-y-a=0 is (a) pi/3 (b) pi/4 (c) pi (d) pi/2

lf the eccentricity of the hyperbola x^2 - y^2 sec^2 alpha=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

The angle subtended by the double ordinate of length 8a of the parabola y^(2)=4ax at its vertex is a) (pi)/(3) b) (pi)/(4) c) (pi)/(2) d) (pi)/(6)

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

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