The equation of a parabola is $y^2=4x$. Which of the following points lies on the parabola?
Previous 10 Questions — MAH MCA CET 2025 (Shift 1)
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The coefficient of $x^{n}$ in the expansion of $(1+x)^{2n}$ and $(1+x)^{2n-1}$ are in the ratio
Topic: MAH MCA CET 2025 (Shift 1)
A family of parabolas $y=ax^{2}$ $(a>0)$ has vertices on the $x$–axis and axis parallel to $y$–axis. The differential e…
Topic: MAH MCA CET 2025 (Shift 1)
A company models the rate of change of concentration by
$(y^2+3xy),dx+(x^2+xy),dy=0$, with $y=1$ when $x=1$. Find $y$ a…
Topic: MAH MCA CET 2025 (Shift 1)
The population of a town grows at $10%$ per year. How long will it take for the population to triple?
Topic: MAH MCA CET 2025 (Shift 1)
A circular wire of radius $7.5\ \text{cm}$ is cut and bent to lie along the circumference of a hoop of radius $120\ \te…
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Find the distance from the eye at which a coin of $2\ \text{cm}$ diameter should be held so as to conceal the full moon…
Topic: MAH MCA CET 2025 (Shift 1)
Two trains, A and B, start simultaneously from two stations $300\ \text{km}$ apart. Train A travels at $60\ \text{km/h}…
Topic: MAH MCA CET 2025 (Shift 1)
The incomes of $A$, $B$ and $C$ are in the ratio $7 : 9 : 12$ and their spending are in the ratio $8 : 9 : 15$. If $A$ …
Topic: MAH MCA CET 2025 (Shift 1)
Two cubes each of volume $64\ \text{cm}^3$ are joined end to end. Find the surface area of the resulting cuboid.
Topic: MAH MCA CET 2025 (Shift 1)
A pendulum swings through an angle of $30^\circ$ and describes an arc of $17.6\ \text{cm}$ in length. Find the length o…
Topic: MAH MCA CET 2025 (Shift 1)
Next 10 Questions — MAH MCA CET 2025 (Shift 1)
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In $\triangle ABC$, sides are $a=9$, $b=7$, $c=12$. Find angle $C$ (opposite side $c$) using the Law of Cosines.
Topic: MAH MCA CET 2025 (Shift 1)
The number of real solutions of $\sqrt{1+\cos 2x}=\sqrt{2},\cos^{-1}(\cos x)$ in $\left[\frac{\pi}{2},\pi\right]$ is
Topic: MAH MCA CET 2025 (Shift 1)
Given $,\dfrac{dy}{dx}+y=1,$ with $y(0)=2$, find $y(1)$.
Topic: MAH MCA CET 2025 (Shift 1)
The valid range of $x$ for which $\cos^{-1}(2x-3)$ is defined is
Topic: MAH MCA CET 2025 (Shift 1)
The perpendicular distance of the point $P(1,2,3)$ from the line $\dfrac{x-6}{3}=\dfrac{y-7}{2}=\dfrac{z-7}{-2}$ is
Topic: MAH MCA CET 2025 (Shift 1)
The projections of a line segment on the $X,Y,Z$ axes are $12,4,3$ respectively. The length and direction cosines are
Topic: MAH MCA CET 2025 (Shift 1)
If $\tan^{-1}\left(\dfrac{1-x}{1+x}\right)=\dfrac{1}{2}\tan^{-1}x$, then $x$ is
Topic: MAH MCA CET 2025 (Shift 1)
Find the total number of ways to put $20$ balls into $5$ boxes so that the first box contains only one ball.
Topic: MAH MCA CET 2025 (Shift 1)
Find the number of arrangements of the letters of the word $,\text{INDEPENDENCE},$ such that(i) the words start with $I…
Topic: MAH MCA CET 2025 (Shift 1)
The number of parallelograms formed by a set of $4$ parallel lines intersecting another set of $3$ parallel lines is
Topic: MAH MCA CET 2025 (Shift 1)
