Ques. -17

"A" is a point on the parabola $y^2=4ax$ . The normal at A cuts the parabola again at B.

Statement-1: If AB subtends a right angle at the vertex of the parabola, then slope of AB is $\frac{1}{\sqrt{2}}$ .

Statement-2: If normal at $(at_1^2,2at_1)$ cuts the parabola again at $(at_2^2,2at_2)$ , then $t_2=-t_1-\frac{2}{t_1}$ .

Which of the following options is true ?

a). Statement-1 is true, Statement-2 is true. And statement-2 is a correct explanation of statement-1.

b). Statement-1 is true, Statement-2 is true. But Statement-2 is not correct explanation of statement-1.

c). Statement-1 is true, Statement-2 is false.

d). Statement-1 is false, Statement-2 is true.

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