MCQ
A sequence is called ___________________ if $a_{n+1} = a_n + d$.
- ✓Arithmetic progression
- BGeometric Progression
- CHharmonic Progression
- DSpecial Progression
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$(a)$ reflection about the line $y=x$.
$(b)$ translation through $2$ units along the positive direction of $x$-axis.
$(c)$ rotation through angle $\frac{\pi}{4}$ about the origin in the anti-clockwise direction.
If the co-ordinates of the final position of the point $P$ are $\left(-\frac{1}{\sqrt{2}}, \frac{7}{\sqrt{2}}\right)$, then the value of $2 a+b$ is equal to:
$\Delta ABC$ is right angled osceles triangle with hypotenuse $AC = 4\sqrt 2\ units$ then minimum value of $ax^2 + bx + c$ is