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Let P(alpha,0)" and "Q(0,beta) be two-po...

Let `P(alpha,0)" and "Q(0,beta)` be two-points on x-axis and y-axis respectively. Tangents from P touch the hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=1` at `M_1(x_1,y_1)" and "M_2(x_2,y_2)`, similarly tangent from Q to this hyperbola touches it at `M_3(x_3,y_3)" and "M_4(x_4,y_4)`, then (given `alpha,beta ne 0` )

A

`x_1=x_2" and "y_1+y_2=0`

B

`x_1+x_2=0,y_1=y_2`

C

`x_1+x_4=0,y_3=y_4`

D

`x_3+x_4,y_3+y_4=0`

Text Solution

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The correct Answer is:
A, C
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