Statement 1: If there exist points on the circle `x^2+y^2=a^2` from which two perpendicular tangents can be drawn to the parabola `y^2=2x ,` then `ageq1/2` Statement 2: Perpendicular tangents to the parabola meet at the directrix.

If there exists at least one point on the circle x^(2)+y^(2)=a^(2) from which two perpendicular tangents can be drawn to parabola y^(2)=2x , then find the values of a.

Number of points from where perpendicular tangents can be drawn to the curve x^2/16-y^2/25=1 is

The points on the ellipse (x^(2))/(2)+(y^(2))/(10)=1 from which perpendicular tangents can be drawn to the hyperbola (x^(2))/(5)-(y^(2))/(1) =1 is/are

How many distinct real tangents that can be drawn from (0,-2) to the parabola y^2=4x ?

Find the equation of the tangent at t =2 to the parabola y^(2) = 8x .

If eight distinct points can be found on the curve |x|+|y|=1 such that from eachpoint two mutually perpendicular tangents can be drawn to the circle x^2+y^2=a^2, then find the tange of adot

Statement 1 : There can be maximum two points on the line p x+q y+r=0 , from which perpendicular tangents can be drawn to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 Statement 2 : Circle x^2+y^2=a^2+b^2 and the given line can intersect at maximum two distinct points.

Statement 1 : If there is exactly one point on the line 3x+4y+5sqrt(5)=0 from which perpendicular tangents can be drawn to the ellipse (x^2)/(a^2)+y^2=1,(a >1), then the eccentricity of the ellipse is 1/3dot Statement 2 : For the condition given in statement 1, the given line must touch the circle x^2+y^2=a^2+1.

On which curve does the perpendicular tangents drawn to the hyperbola (x^2)/(25)-(y^2)/(16)=1 intersect?

The number of points on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=3 from which mutually perpendicular tangents can be drawn to the circle x^2+y^2=a^2 is/are (a)0 (b) 2 (c) 3 (d) 4