Let `P` be a point on the hyperbola `x^2 - y^2 = a^2`, where `a` is a parameter such that `P` is nearest to the line `y=2x`. Show that the locus of `P` is `2y-x=0`.

Let P be a point on the hyperbola x^2-y^2=a^2, where a is a parameter, such that P is nearest to the line y=2xdot Find the locus of Pdot

Let P be a point on the hyperbola x^2-y^2=a^2, where a is a parameter, such that P is nearest to the line y=2xdot Find the locus of Pdot

Let P be a point on the hyperbola x^2-y^2=a^2, where a is a parameter, such that P is nearest to the line y=2xdot Find the locus of Pdot .

Let P be a point on the hyperbola x^2-y^2=a^2, where a is a parameter, such that P is nearest to the line y=2xdot Find the locus of Pdot

Let P be a point on the hyperbola x^(2)-y^(2)=a^(2), where a is a parameter,such that P is nearest to the line y=2x. Find the locus of P.

P (2 , k) is on the ellipse x^(2) + 2y^(2) = 6 . For what value of k the point P is nearest to the line x + y = 7 ?

A point p moves such that p and the points (2,3)(1,5) are always collinear. Show that the locus of p is 2x+y-7=0

If P(x_(1),y_(1)) is a point on the hyperbola x^(2)-y^(2)=a^(2) , then SP.S'P= . . . .

Tangents are drawn from a point P to the hyperbola x^(2)-y^(2)=a^(2) If the chord of contact of these normal to the curve,prove that the locus of P is (1)/(x^(2))-(1)/(y^(2))=(4)/(a^(2))