If normals at two points `A(x_1, y_1) and B(x_2, y_2)` of the parabola `y^2 = 4ax`, intersect on the parabola, then `y_1, 2sqrt(2)a, y_2` are in (A) A.P. (B) G.P. (C) H.P. (D) none of these

If tangents at A and B on the parabola y^2 = 4ax , intersect at point C , then ordinates of A, C and B are in (A) A.P. (B) G.P. (C) H.P. (D) none of these

Normals at two points (x_1y_1)a n d(x_2, y_2) of the parabola y^2=4x meet again on the parabola, where x_1+x_2=4. Then |y_1+y_2| is equal to sqrt(2) (b) 2sqrt(2) (c) 4sqrt(2) (d) none of these

If the normals at (x_(1),y_(1)) and (x_(2) ,y_(2)) on y^(2) = 4ax meet again on parabola then x_(1)x_(2)+y_(1)y_(2)=

If the normals at two points P and Q of a parabola y^2 = 4ax intersect at a third point R on the curve, then the product of ordinates of P and Q is

f the normal at the point P (at_1, 2at_1) meets the parabola y^2=4ax aguin at (at_2, 2at_2), then

If the lines a x+2y+1=0,b x+3y+1=0a n dc x+4y+1=0 are concurrent, then a ,b ,c are in (a). A.P. (b). G.P. (c). H.P. (d). none of these

If 2 (y - a) is the H.M. between y - x and y - z then x-a, y-a, z-a are in (i) A.P (ii) G.P (iii) H.P (iv) none of these

The parabolas y^2=4ax and x^2=4by intersect orthogonally at point P(x_1,y_1) where x_1,y_1 != 0 provided (A) b=a^2 (B) b=a^3 (C) b^3=a^2 (D) none of these

If from a point A, two tangents are drawn to parabola y^2 = 4ax are normal to parabola x^2 = 4by , then

Let A(x_(1),y_(1)) and B(x_(2),y_(2)) be two points on the parabola y^(2) = 4ax . If the circle with chord AB as a dimater touches the parabola, then |y_(1)-y_(2)| is equal to