Most Important Selected Qs for JEE AdvancedMathematicsHyperbola

C the centre of the hyperbola x^2 9 - y^2 16 =1 . The tangents at any point P on this hyperbola meets the striaght lines 4 x-3 y=0 and 4 x+3 y=0 in the points Q and R respectively. Then C Q . C R=

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Step-by-step solution

P is (3 , 4 ) Tangent at P is x 3 - y 4 =1 It meets 4 x-3 y=0 , i.e. x 3 = y 4 in Q Q is ( 3 - , 4 - ) It meets 4 x+3 y=0 , i.e. x 3 =- y 4 in R R is ( 3 + , -4 + ) C Q . C R= ( 3^2+4^2 - ) ( 3^2+4^2 + )=25

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