NDA Government Jobs Exams

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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NDA Other Question

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 ? If 2x^3 – 3y^2 = 7, what is dy/dx