Tangents are drawn to `x^2+y^2=16` from the point `P(0, h)dot` These tangents meet the `x-a xi s` at `Aa n dB` . If the area of triangle `P A B` is minimum, then `h=12sqrt(2)` (b) `h=6sqrt(2)` `h=8sqrt(2)` (d) `h=4sqrt(2)`

Tangents are drawn to x^2+y^2=16 from P(0,h). These tangents meet x-axis at A and B.If the area of PAB is minimum, then value of h is: (a) 12sqrt2 (b) 8sqrt2 (c) 4sqrt2 (d) sqrt2

Tangents are drawn from the point (-1,2) to the parabola y^(2)=4x. These tangents meet the line x=2 at P and Q, then length of PQ is

Tangents are drawn to the hyperbola 4x^(2)-y^(2)=36 at the points P and Q . If these tangents intersect at the point T(0,3) and the area (in sq units) of Delta TPQ is a sqrt(5) then a=

Tangents are drawn to the circle x^2 + y^2 = 32 from a point A lying on the x-axis. The tangents cut the y-axis at points B and C , then the coordinate(s) of A such that the area of the triangle ABC is minimum may be: (A) (4sqrt(2), 0) (B) (4, 0) (C) (-4, 0) (D) (-4sqrt(2), 0)

Tangents are drawn to the circle x^2+y^2=50 from a point 'P' lying on the x-axis. These tangents meet the y-axis at points P_1' and P_2' . Possible coordinates of 'P' so that area of triangle PP_1P_2 is minimum , is/are

Tangents are drawn from the point (-1,2) to the parabola y^(2)=4x The area of the triangle for tangents and their chord of contact is

If the area of the triangle formed by the lines x=0,y=0,3x+4y-a(a>0) is 1, then a=(A)sqrt(6)(B)2sqrt(6)(C)4sqrt(6)(D)6sqrt(2)

If A is the area an equilateral triangle of height h , then (a) A=sqrt(3)\ h^2 (b) sqrt(3)A=h (c) sqrt(3)A=h^2 (d) 3A=h^2

A circle passes through the points A(1,0) and B(5,0), and touches the y-axis at C(0,h). If /_ACB is maximum,then (a)h=3sqrt(5)(b)h=2sqrt(5)(c)h=sqrt(5)(d)h=2sqrt(10)

Tangents are drawn to the circle x^(2)+y^(2)=50 from a point P lying on the x-axis.These tangents meet the y-axis at points 'P_(1), and 'P_(2). Possible co-ordinates of 'P' so that area of triangle PP_(1)P_(2) is minimum is/are