The value of for which is a tangent to the hyperbola is

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

The value of

m

for which

y=mx+6

is a tangent to the hyperbola

\frac{x^2}{100}-\frac{y^2}{49}=1

is (1)

\sqrt{\frac{17}{20}}

(2)

-\sqrt{\frac{17}{21}}

(3)

\sqrt{\frac{20}{17}}

(4)

-\sqrt{\frac{21}{17}}