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JEE Main 28 June 2022, Shift 1, Maths Q13

Question 13 of 90 in this shift, Maths question 13 of 30, Section A.

Let the eccentricity of the hyperbola

H:\frac{x^2}{a^2}-\frac{y^2}{b^2}=1

\sqrt{\frac{5}{2}}

and length of its latus rectum be

6\sqrt{2}

, If

y=2x+c

is a tangent to the hyperbola

H

, then the value of

c^2

is equal to

Official answer

Option 2

NTA final key.