The equation of a curve is given as $y=x^2+2-3 x$. The curve intersects the $x$-axis at
$(1,0)$
$(2,0)$
Both $(1)$ and $(2)$
No where
If $F = \frac{2}{{\sin \,\theta + \sqrt 3 \,\cos \,\theta }}$, then minimum value of $F$ is
The slope of the tangent to the curve $y = ln\, (cos\,x)$ a $x = \frac{3\pi}{4}$ is
The area $'A'$ of a blot of ink is growing such that after $t$ second its area is given by $A = (3t^2 + 7)\,cm^2$. Calculate the rate of increase of area at $t = 2\, sec$. .......... $cm^2/s$
If $\tan \theta=\frac{1}{\sqrt{5}}$ and $\theta$ lies in the first quadrant, the value of $\cos \theta$ is :
A particular straight line passes through origin and a point whose abscissa is double of ordinate of the point. The equation of such straight line is :