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NTA Abhyas JEE Main2020MathematicsThree Dimensional GeometryPractice

If the line x - 1 5 = y - 3 2 = z - 3 2 intersects the curve x 2 - y 2 = k 2 ,   z = 0 , then the value of 2 k can be equal to

Options

A- 13
B- 13 2
C13 2
D13 4

Correct answer

A. - 13

Step-by-step solution

Put z = 0 in the given equation of line x - 1 5 = y - 3 2 = - 3 2 ⇒ x = - 13 2 , y = 0 So, - 13 2 2 - 0 = k 2 ⇒ k = ± 13 2

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