MCQ
The area of ellipse $\frac{\text{x}^2}{4^2}+\frac{\text{y}^2}{9^2}=1$ is:
- A$6\pi\text{ sq}.\text{units}$
- B$\frac{\pi(\text{a}^2+\text{b}^2)}{4}\text{ sq}.\text{units}$
- C$\pi(\text{a+b})\text{ sq}.\text{units}$
- ✓None of these
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$(a-c) x^2+(b-a) x+(c-b)=0$ where $a, b, c$ are distinct real numbers such that the matrix
$\left[\begin{array}{ccc}\alpha^2 & \alpha & 1 \\1 & 1 & 1 \\a & b & c\end{array}\right]$
is singular. Then the value of
$\frac{(a-c)^2}{(b-a)(c-b)}+\frac{(b-a)^2}{(a-c)(c-b)}+\frac{(c-b)^2}{(a-c)(b-a)}$