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Question

The equation of tangent to the conic Sax2+by2+2hxy+2gx+2fy+c=0 at (x1 , y1) is obtained by replacing x with x+x12,y with y+y12,with x2 with xx1, y2 with yy1, xy with xy1+yx12 and keeping c as it is in the equation of conic (S).


A

True

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B

False

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Solution

The correct option is A

True


This is a standard result we discussed in circle. We recommend you to remember the method. It is helpful while finding the equation of tangent to any second degree curve. In this method replace x with x+x12,

y y+y12

x2 xx1

y2 yy1

and

c c


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