Let P be any point on the curve ` x^(2//3)+y^(2//3)=a^(2//3). ` Then the length of the segment of the tangent between the coordinate axes in of length

The length of the segment joining the points with coordinates (-2,4) and (3,-5) is

Find the equation of the common tangent in the first quadrant of the circle x^2+y^2=16 and the ellipse x^2/25+y^2/4=1 .Also find the length of the intercept of the tangent between the coordinates axes.

If tangents are drawn to the ellipse 2x^(2) + 3y^(2) =6 , then the locus of the mid-point of the intercept made by the tangents between the co-ordinate axes is

The differential equation of the curve for which the point of tangency (closer to the x - axis) divides the segment of the tangent between the coordinate axes in the ratio 1:2 , is

For the curve x y=c , prove that the portion of the tangent intercepted between the coordinate axes is bisected at the point of contact.

For the curve x y=c , prove that the portion of the tangent intercepted between the coordinate axes is bisected at the point of contact.

The curve that passes through the point (2, 3) and has the property that the segment of any tangent to it lying between the coordinate axes is bisected by the point of contact, is given by

Let S be the circle in the x y -plane defined by the equation x^2+y^2=4. (For Ques. No 15 and 16) Let P be a point on the circle S with both coordinates being positive. Let the tangent to S at P intersect the coordinate axes at the points M and N . Then, the mid-point of the line segment M N must lie on the curve (x+y)^2=3x y (b) x^(2//3)+y^(2//3)=2^(4//3) (c) x^2+y^2=2x y (d) x^2+y^2=x^2y^2

Find the length of the tangent for the curve y=x^3+3x^2+4x-1 at point x=0.

Find the length of the tangent for the curve y=x^3+3x^2+4x-1 at point x=0.