02:00:00
1. Limit x tends to 0 log(cos(x))/x
2. Limit x tends to 0 logx/(x-1)
3. If x2+y2=a2x^2 + y^2 = a^2, then what is dydx\frac{dy}{dx}?
4. if y = 1/(secx - tanx) the dy/dx
5. ∫xcos⁡(x) dx\int x \cos(x) \, dx
6. If f′(x)=x2+2f'(x) = x^2 + 2 and f(0)=0f(0) = 0, then what is f(x)f(x)?
7. The normal to a given curve y = f(x) is parallel to x-axis if
8. The minimum value of x2+8x+17x^2+8x+17 is
9. The area between the curve y=sech(x)y = \text{sech}(x) and the x-axis is?
10. The smaller area enclosed by the circle x2+y2=4x^2 + y^2 = 4 and the line x+y=2x + y = 2 is?
11. The area bounded by the parabola x2=16yx^2 = 16y and its latus rectum is?
12. The equation (cos⁡θ+isin⁡θ)n=cos⁡(nθ)+isin⁡(nθ)(\cos\theta + i\sin\theta)^n = \cos(n\theta) + i\sin(n\theta) holds if...?
13. The Square root of 3+4i are
14. Find the common root of the equations x3−7x+6=0x^3 - 7x + 6 = 0 and x2−3x+2=0x^2 - 3x + 2 = 0.
15. What is the least integer k which makes the roots of the equation x2+5x+k=0x^2 + 5x + k = 0 imaginary?
16. if the mth term of A.P. is n and nth term is m then the rth term is
17. The product of any two terms equidistant from the beginning and the end in a finite Geometric Progression (G.P.) is constant and equal to the product of the first and last terms.
18. If the matrix AA satisfies the equation A2−A−I=0A^2 - A - I = 0, then what is the value of A−1A^{-1}?
19. If A is a square matrix the A+ATA+A^T is a
20. The system of equations x+3y = 7 and 4x-y =19 has
21. If the system of equations x+2y−3z=1x + 2y - 3z = 1, (k+2)z=4(k + 2)z = 4, and (2k+1)y+z=2(2k + 1)y + z = 2 is inconsistent, then what is the value of kk?
22. The number of functions from {3,4,5} into {1,2} are
23. Two sets A={1,1} and B = {3} are
24. Zero is a
25. Inverse functions exists if
Questions Navigator