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 range of `adot`

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

Mutually perpendicular tangents T A and T B are drawn to y^2=4a x . Then find the minimum length of A B

If two perpendicular tangents can be drawn from the origin to the circle x^2-6x+y^2-2p y+17=0 , then the value of |p| is___

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.

Two perpendicular tangents drawn to the ellipse (x^2)/(25)+(y^2)/(16)=1 intersect on the curve.

The number of points on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 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

An infinite number of tangents can be drawn from (1,2) to the circle x^2+y^2-2x-4y+lambda=0 . Then find the value of lambda .

If the length tangent drawn from the point (5, 3) to the circle x^2+y^2+2x+k y+17=0 is 7, then find the value of kdot

Tangents are drawn from the point (17, 7) to the circle x^2+y^2=169 , Statement I The tangents are mutually perpendicular Statement, lls The locus of the points frorn which mutually perpendicular tangents can be drawn to the given circle is x^2 +y^2=338 (a) Statement I is correct, Statement II is correct; Statement II is a correct explanation for Statementl (b( Statement I is correct, Statement I| is correct Statement II is not a correct explanation for Statementl (c)Statement I is correct, Statement II is incorrect (d) Statement I is incorrect, Statement II is correct

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