If the normal to the given hyperbola at the point (ct,tc) meets the curve again at (ctprime,tprimec), then (A) t3tprime=1 (B) t3tprime=−1 (C) ttprime=1 (D) ttprime=−1

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If the normal to the given hyperbola at the point {({c}{t},{{c

Question

If the normal to the given hyperbola at the point $(c t, \frac{c}{t})$ meets the curve again at $(c t^{p r i m e}, \frac{c}{t ^{p r i m e}}),$ then (A) $t^{3} t^{p r i m e} = 1$ (B) $t^{3} t^{p r i m e} = - 1$ (C) $t t^{p r i m e} = 1$ (D) $t t^{p r i m e} = - 1$

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If the normal to the given hyperbola at the point

(c t, \frac{c}{t})

meets the curve again at

(c t^{p r i m e}, \frac{c}{t ^{p r i m e}}),

then (A)

t^{3} t^{p r i m e} = 1

(B)

t^{3} t^{p r i m e} = - 1

(C)

t t^{p r i m e} = 1

(D)

t t^{p r i m e} = - 1

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Question Text

If the normal to the given hyperbola at the point

(c t, \frac{c}{t})

meets the curve again at

(c t^{p r i m e}, \frac{c}{t ^{p r i m e}}),

then (A)

t^{3} t^{p r i m e} = 1

(B)

t^{3} t^{p r i m e} = - 1

(C)

t t^{p r i m e} = 1

(D)

t t^{p r i m e} = - 1