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`

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 (a) S P=S T!=S N (b) S P!=S T=S N (c) S P=S T=S N (d) S P!=S T!=S N

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 (a) S P=S T!=S N (b) S P!=S T=S N (c) S P=S T=S N (d) S P!=S T!=S N

If the tangents at the points Pa n dQ on the parabola y^2=4a x meet at T ,a n dS is its focus, the prove that S P ,S T ,a n dS Q are in GP.

If the tangents at the points Pa n dQ on the parabola y^2=4a x meet at T ,a n dS is its focus, the prove that S P ,S T ,a n dS Q are in GP.

If the tangents at the points Pa n dQ on the parabola y^2=4a x meet at T ,a n dS is its focus, the prove that S P ,S T ,a n dS Q are in GP.

If the tangents at the points Pa n dQ on the parabola y^2=4a x meet at T ,a n dS is its focus, the prove that S P ,S T ,a n dS Q are in GP.

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

If P and Q are two points whose coordinates are (a t^2,2a t)a n d(a/(t^2),(2a)/t) respectively and S is the point (a,0). Show that 1/(S P)+1/(s Q) is independent of t.