Tangents and normal drawn to the parabola `y^2=4a x` at point `P(a t^2,2a t),t!=0,` meet the x-axis at point `Ta n dN ,` respectively. If `S` is the focus of theparabola, then `S P=S T!=S N` (b) `S P!=S T=S N` `S P=S T=S N` (d) `S P!=S T!=S N`

If S be the focus of the parabola and tangent and normal at any point P meet its axis in T and G respectively, then prove that ST=SG = SP .

A tangent having slope of -4/3 to the ellipse (x^2)/(18)+(y^2)/(32)=1 intersects the major and minor axes at point Aa n dB , respectively. If C is the center of the ellipse, then the area of triangle A B C is 12s qdotu n i t s (b) 24s qdotu n i t s 36s qdotu n i t s (d) 48s qdotu n i t s

T is daughter of J. J is brother of S. S is mother of P. How is T related to P?

In Figure, P Q R S is a square and T\ a n d\ U are, respectively, the mid-points of P S\ a n d\ Q R . Find the area of O T S\ if P Q=8\ c mdot

In an A.P. if a=2, t_(n)=34 ,S_(n) =90 , then n=