The equation of the chord of contact of the tangents drawn from the point (3,4) to the parabola y2=2x is .
A
x-4y+3=0
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B
x-4y-3=0
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C
x+4y+3=0
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D
x+4y-3=0
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Solution
The correct option is A x-4y+3=0 The chord of contact of tangents drawn from the point (x1,y1) to the conic Ax2+Bxy+Cy2+Dx+Ey+F=0
is Axx1+B2(xy1+yx1)+Cyy1+D(x+x12)+E(y+y12)+F=0
For parabola y2=4ax, the equation of the chord of contact from outside point (x1,y1) is
yy1=2a(x+x1) ⟹ 4y=(x+3) or
x-4y+3=0