IPMAT Indore 2022 (MCQ) PYQs

Two points on a ground are 1 m apart. If a cow moves in the field in such a way that its distance from the two points is always in ratio $3: 2$ then

Consider the polynomials $f(x) = ax^2 + bx + c$, where $a > 0, b, c$ are real, $g(x) = -2x$. If $f(x)$ cuts the x-axis at $(-2, 0)$ and $g(x)$ passes through $(a, b)$, then the minimum value of $f(x) + 9a + 1$ is

The area of the triangle, formed by the straight lines $y = 0, 12x - 5y = 0,$ and $3x + 4y = 7$ is