List of top Mathematics Questions asked in CUET (UG)

Let \(\overrightarrow a\) and \(\overrightarrow b\) be two unit vectors. If the vectors \(\overrightarrow c=5\overrightarrow a-4\overrightarrow b\) and \(\overrightarrow d = \overrightarrow a+2\overrightarrow b\) perpendicular to each other, then the angle between \(\overrightarrow a\) and \(\overrightarrow b\) is:

The equation of plane which cuts equal intercepts of unit length on the coordinate axes is:

If the straight lines \(x=1+s, y = -3-s, z=1+λs\) and \(x = \frac{t}{2},y=1+t, z=2-t\) with parameters s and t respectively, are coplanar, then \(λ\) is equal to:

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If in a binomial distribution n=4, P(X=0)=\(\frac{16}{81}\), then P(X = 4) equals :

A and B throw a die alternatively till one of them gets a number more than 4 and wins the game. Then the probability of winning the game by B, if A starts first:

The inverse of the function f: R→R given by f(x) = 2x +7 is:

If f(x) =\(\begin{cases}\frac{x^2-9}{x-3}, x≠3 \\ 5, x=3 \end {cases}\) then f(x):

The integral \(\int_0^1x(1-x)^n dx\) is equal to :

The set of value of \(x\) for which the angle between the \(\overrightarrow a = 2x²\hat i + 4x \hat j + \hat k\) and \(\overrightarrow b =7\hat i-2\hat j + x\hat k\) is obtuse is :

The shortest distance between the lines \(\frac{x + 3}{1} = \frac{y-2}{2} = \frac{z+4}{3} \space and \space  \frac{x+3}{-3} = \frac{y+7}{2} = \frac{z-6}{4}\) is: =

If x is the least positive integer satisfying 100 ≡ x(mod 6), then (2x+1) is equal to :

The quantity of water that must be added to 36 litres of milk at 2 ½ litres for ₹120 so as to have mixture worth ₹36 for a litre is:

In a partnership, A invests one-fourth of the capital for one-third of the time, B invests one-third of the capital for one-fourth of the time and C invests the rest of the capital for the whole time. Out of a profit of ₹3,500, A's share is:

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If \(\begin{bmatrix}3& 2x + 5y &-2 \\x + 4y  &7 &-5\end{bmatrix}=\begin{bmatrix}3 &10&-2\\ 2&7&-5\end{bmatrix}\) Then the values of x and y are:

If A is a square matrix of order 3 and |A|=5, then |adj(adjA)| is:

If the matrix \(A =\begin{bmatrix}x&-2 &-5y\\ 2&0& -9 \\10& 3z &0\end{bmatrix}\)is skew-symmetric, then the value of \((2x-3y+4z)\) is:

If \(y = log(\frac{x^5}{e^5})\), then \(\frac{d^2y}{dx^2}\) is,

The point on the curve y²=16x for which the y-coordinate is changing 2 times as fast as the x-coordinate is:

The total cost function for x units of a commodity is given by \(C(x) = \frac{25x^3}{3}-75x^2+48x+34\). The output \(x\) at which the marginal cost is minimum is:

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A product costs the manufacturer ₹20 per unit. The demand function is given by p(x) = 1000-20x, then the quantity for maximum profit is:

A discrete random variable X has the following probability distribution:

The value of b is:

A discrete random variable X takes the values 0, 1, 2, 3, 4 and its mean is 1.6. If P(X=1)=0.4, P(X=4)=P(X=2) and P(X=3)=2P(X=2), then P(X=0) is: