The normal at `(2, 6)` to the curve `x = 1+t, y = 2 + 4t^2` has the intercepts on the axes given by: (A) `50,25/4` (B) `50,25/2` (C) 48,25 (D) none

The normal at (a,2a) on y^(2)=4ax meets the curve again at (at^(2),2at). Then the value of t=

The normal at (a,2a) on y^2 = 4ax meets the curve again at (at^2, 2at) . Then the value of t=

The normal at t_(1) and t_(2) on the parabola y^(2)=4ax intersect on the curve then t_(1)t_(2)

If the normal to the curve x=t-1,y=3t^(2)-6 at the point (1,6) make intercepts a and b on x and y - axis respectively, then the value of ten's place of ' a + 12b 'is

If 25 a+25 b=115 , what is the average of a and b ? (a) 2.5 (b) 3.4 (c) 4.5 (d) 4.6 (e) None of these

If the normal at t_(1) on the parabola y^(2)=4ax meet it again at t_(2) on the curve then t_(1)(t_(1)+t_(2))+2 =

If the normal at t_(1) on the parabola y^(2)=4ax meet it again at t_(2) on the curve then t_(1)(t_(1)+t_(2))+2 = ?

The circle x^2 + y^2 - 6x - 10y + p = 0 does not touch or intersect the axes and the point (1, 4) is inside the circle, then (A) 0 lt p lt 29 (B) 25 lt p lt 29 (C) 25 lt p lt 35 (D) none of these

A normal to the hyperbola (x^2)/4-(y^2)/1=1 has equal intercepts on the positive x- and y-axis. If this normal touches the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 , then a^2+b^2 is equal to (a) 5 (b) 25 (c) 16 (d) none of these