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Class 11 Maths Practice Test - Second Order Derivative
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Class 11 Maths Practice Test - Second Order Derivative
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11 Questions

1. What will be the form of the equation after eliminating a and b from the equation y = a sin-1x + b cos-1x?
2. If, y = cos(2sin-1x), then what is the value of (1 – x2)y” – xy’ + 4y?
3. If, y = tan-1(x/a), then what is the value of y’?
4. Which of the following is correct for the nature of the roots x5 – a0x4 + 3ax3 + bx2 + cx + d = 0 if it is given that 2a02 < 15 and a0, a, b, c, d are real?
5. What is the value of 4a cos3θ(d2y/dx2) if x = a sin2θ(1 + cos2θ) and y = a cos2θ(1 – cos2θ)?
6. Given, y = tan-1 √(x2 – 1) then what is the value of (2x2 – 1)y’ + x(x2 – 1)y”?
7. Whichis greater (1/2)e or 1/e2 if there is a given function sinx(sinx), 0 < x < π?
8. The function y = f(x) is represented parametrically by x = t5 – 5t3 – 20t + 7 and y = 4t3 – 3t2 – 18t + 3 (-2 < t < 2). At which point does y = f(x) has a minimum value?
9. What will be the domain of the function, if 3x + 3f(x) = minimum of Φ(t), where Φ(t) = minimum of (2t3 – 15t2 + 36t – 25, 2 + |sint|; 2 ≤ t ≤ 4} ?
10. What is the value of (x + y)2y” if x = et sint and y = et cost?
11. If, y = (sin-1x)2, then what is the value of (1 – x2)y” – xy’ + 4?

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