43. If a and bare two vectors then the value of (a + b)x (a- b) is(a) 2(bxa)(b) -2 ( bx a)(c) bx a(d) ax b

Q. If $sin\left(ax\right)sin\left(bx\right)=cos\left(ax\right)cos\left(bx\right)(a,b\ne 0$ & $a\ne b)$, then $\int \frac{sin\left(ax\right)+cos\left(bx\right)}{cos\left(ax\right)+sin\left(bx\right)}dx$ is

Q. If $a{x}^2+bx+1$ and $b{x}^2+ax+1$ have a common root, and $b\ne a$, then the common root is:

Q. If 3x = a + b + c, then the value of (x − a)³ + (x −b)³ + (x − c)³ − 3(x − a) (x − b) (x −c) is

(a) a + b + c

(b) (a − b) (b − c) (c − a)

(c) 0

(d) none of these

Q. Solve $\int e^{ax}\cos bxdx=\frac{e^{ax}}{a^2+b^2}(a\cos bx+b\sin bx)$