Question Library
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Mathematics
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Consider the following statements: 1. The direction ratios of y-axis can be <0, 4, 0> 2. The direction ratios of…
NDA Mathematics 2022
NDA 2022
Mathematics
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A plane cuts intercepts 2, 2, 1 on the coordinate axes. What are the direction cosines of the normal to…
NDA Mathematics 2022
NDA 2022
Mathematics
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Consider the equation of a spherex² + y² + z² – 4x – 6y – 8z – 16 = 0.Which…
NDA Mathematics 2022
NDA 2022
Mathematics
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Consider the points A(2, 4, 6), B(–2, –4, –2), C(4, 6, 4) and D(8, 14, 12). Which of the following…
NDA Mathematics 2022
NDA 2022
Mathematics
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An equilateral triangle is inscribed in a parabola x² = √3y where one vertex of the triangle is at the…
NDA Mathematics 2022
NDA 2022
Mathematics
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Under which one of the following conditions are the lines ax + by + c = 0 and bx +…
NDA Mathematics 2022
NDA 2022
Mathematics
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A straight line passes through the point of intersection of x + 2y + 2 = 0 and 2x −…
NDA Mathematics 2022
NDA 2022
Mathematics
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Let a, b, c be the lengths of sides BC, CA, AB respectively of a triangle ABC. If p is…
NDA Mathematics 2022
NDA 2022
Mathematics
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What is the distance between the foci of the ellipse x² + 2y² = 1?
NDA Mathematics 2022
NDA 2022
Mathematics
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What is the equation of the parabola with focus (−3, 0) and directrix x − 3 = 0?
NDA Mathematics 2022
NDA 2022
Mathematics
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What is the equation of the circle which touches both the axes in the first quadrant and the line y…
NDA Mathematics 2022
NDA 2022
Mathematics
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What is the equation of the straight line which passes through the point (1, −2) and cuts off equal intercepts…
NDA Mathematics 2022
NDA 2022
Mathematics
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If the points with coordinates (−5, 0), (5p², 10p) and (5q², 10q) are collinear, then what is the value of…
NDA Mathematics 2022
NDA 2022
Mathematics
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What does the equation x dy/dx − 2y = 0 represent?
NDA Mathematics 2022
NDA 2022
Mathematics
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If xy = 4225 where x, y are natural numbers, then what is the minimum value of x + y?
NDA Mathematics 2022
NDA 2022
Mathematics
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What is the area included in the first quadrant between the curves y = x and y = x³?
NDA Mathematics 2022
NDA 2022
Mathematics
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If the derivative of the function f(x) = m/x + 2nx + 1 vanishes at x = 2, then what…
NDA Mathematics 2022
NDA 2022
Mathematics
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In which one of the following intervals is the function f(x) = x³/3 − 7x²/2 + 6x + 5 decreasing?
NDA Mathematics 2022
NDA 2022
Mathematics
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What is lim (x³ − 1) / √(x − 1) as x → 1 equal to?
NDA Mathematics 2022
NDA 2022