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Question

Column IColumn IIColumn III(1)x2+y2=a2(A)y=mx+am(P)x2+y2=2a2(2)y2=4ax(B)y=mx±a2m2+b2(Q)x2+y2=a2+b2(3)x2a2+y2b2=1(C)y=mx±a2m2b2(R)x2+y2=a2b2(4)x2a2y2b2=1(D)y=mx±a1+m2(S)x=a

a) Column I represents the equation of the conic.
b) Column II represents the slope form of the tangent.
a) Column III represents the director circle of the conic from column I

Which of the following is only correct combination?

A
(1)(A)(P)
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B
(2)(A)(P)
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C
(3)(B)(Q)
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D
(4)(C)(Q)
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Solution

The correct option is C (3)(B)(Q)
CurveTangentDirector circlex2+y2=a2y=mx±a1+m2x2+y2=2a2y2=4axy=mx+amx=ax2a2+y2b2=1y=mx±a2m2+b2x2+y2=a2+b2x2a2y2b2=1y=mx±a2m2b2x2+y2=a2b2

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