IPMAT Indore 2025 (MCQ) PYQs

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

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

The equation of the straight line passing through the point $M (-5,4)$, such that the portion of it between the axes is divided by the point $M$ into two equal halves, is