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Frequently Asked NDA Exam Pattern, NDA Questions with Answers Page 35

(#M40026664) NDA QUESTION Mental Ability Keep an EYE

The derivative of |x| at x = 0 is

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(#M40026663) NDA QUESTION Mental Ability Keep an EYE

If 2x^6 – 3y^4 = 15, what is dy/dx

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(#M40026662) NDA QUESTION Mental Ability Keep an EYE

If 2x^3 – 3y^2 = 7, what is dy/dx

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(#M40026661) NDA QUESTION Mental Ability Keep an EYE

What should be the value of k for which the equation 3x^2 + 3y^2 + (k + 1)z^2 + x – y + z = 0 represents the
sphere ?

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(#M40026660) NDA QUESTION Mental Ability Keep an EYE

If a line makes 30º with the positive direction of x-axis, angle β with the positive direction of y-axis and
angle γ with the positive direction of z-axis, then what is cos^2β + cos^2 γ equal to ?

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(#M40026659) NDA QUESTION Mental Ability Keep an EYE

What is the distance between the planes x – 2y + z – 1 = 0 and –3x + 6y – 3z + 2 = 0 ?

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(#M40026658) NDA QUESTION Mental Ability Keep an EYE

What is the area of the triangle whose vertices are (0, 0, 0), (1, 2, 3) and (–3, –2, 1) ?

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(#M40026657) NDA QUESTION Mental Ability Keep an EYE

The sum of the direction cot of x-axis is

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(#M40026656) NDA QUESTION Mental Ability Keep an EYE

The sum of the direction tan of y-axis is

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(#M40026655) NDA QUESTION Mental Ability Keep an EYE

The sum of the direction tan of x-axis is

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