If the product of the slopes of the tangents drawn from anexternal point P to the hyperbola {x^{2}}/{a^{2}}- {y^{2}}/{b^{2}}=1 is a constant k^{2} then the locus of P is

Correct Answer is : y2+b2=k2(x2−a2)

y^{2}+b^{2}=k^{2} (x^{2}-a^{2} )

y^{2}-b^{2}=k^{2} (x^{2}-a^{2} )

x^{2}+b^{2}=k^{2} (y^{2}-a^{2} )

x^{2}-b^{2}=k^{2} (y^{2}-a^{2} )

TS EAMCET 4 May 2018 Shift 2 Solved Paper

Section: Mathematics

Question : 58 of 160

Marks: +1, -0

If the product of the slopes of the tangents drawn from anexternal point P to the hyperbola

−

=1 is a constant k2 then the locus of P is

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