MHT-CET

Hyperbola question bank (Mathematics)

Practice 20 free MHT-CET Mathematics - Hyperbola questions with answers and step-by-step solutions.

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Q1.

If the line $y = 2x + \lambda$ is a tangent to the hyperbola $36x^2 - 25y^2 = 3600$, then $\lambda =$

(A)

$\pm 36$

(B)

$\pm 25$

(C)

$\pm 16$

(D)

$\pm 9$

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Q2.

If the line $4x + 3y = 7$ touches the hyperbola $x^2 - y^2 = 7$, then the sum of the co-ordinates of the point of contact is...

(A)

$4$

(B)

$7$

(C)

$1$

(D)

$0$

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