1. If A+B=π2 A+B=\frac{\pi}{2} A+B=2π, then cos2A−cos2B= \cos ^{2} A-\cos ^{2} B= cos2A−cos2B= ?
sin(A−B) \sin (A-B) sin(A−B)
sin(B−A) \sin (B-A) sin(B−A)
cos(A−B) \cos (\mathbf{A}-\mathbf{B}) cos(A−B)
0
2. If A=[8−572] A=\left[\begin{array}{cc}8 & -5 \\ 7 & 2\end{array}\right] A=[87−52], then adj A= A= A= ?
[25−7−8] \left[\begin{array}{cc}2 & 5 \\ -7 & -8\end{array}\right] [2−75−8]
[−25−78] \left[\begin{array}{ll}-2 & 5 \\ -7 & 8\end{array}\right] [−2−758]
[87−52] \left[\begin{array}{cc}8 & 7 \\ -5 & 2\end{array}\right] [8−572]
[25−78] \left[\begin{array}{cc}2 & 5 \\ -7 & 8\end{array}\right] [2−758]
3. What is the angle created by the straight line 3x+3y−10=0 3 x+\sqrt{3} y-10=0 3x+3y−10=0 and the +ve +v e +ve side of x x x-axis?
π3 \frac{\pi}{3} 3π
2π3 \frac{2 \pi}{3} 32π
π6 \frac{\pi}{6} 6π
5π6 \frac{5 \pi}{6} 65π
4. ∫x−9dx=? \int x^{-9} d x=? ∫x−9dx=?
−9x−8+C -9 x^{-8}+C −9x−8+C
−9x−10+C -9 x^{-10}+C −9x−10+C
−110x−10+C -\frac{1}{10} x^{-10}+C −101x−10+C
−x−88+C -\frac{x^{-8}}{8}+C −8x−8+C
5. What is the equation of straight line which passes through origin and perpendicular on 3x−4y+5=0 3 x-4 y+5=0 3x−4y+5=0 ?
4x−3y=0 4 x-3 y=0 4x−3y=0
4x+3y=0 4 x+3 y=0 4x+3y=0
3x+4y=0 3 x+4 y=0 3x+4y=0
3x−4y=0 3 x-4 y=0 3x−4y=0