List of top Questions asked in CUET (UG)- 2023

The slope of normal to the curve \(y = 3x^2-6x\) at x = 0 is:

Principal value of \(\tan^{-1}(\sqrt3)+\tan^{-1}(1)\) is :

The following data is taken from a simple random sample :
3, 7, 5, 9, 15, 11, 8, 4, 6, 2
The point estimate of the population standard deviation is :

Match List I with List II

Choose the correct answer from the options given below:

For x+y=8, the maximum value of xy is:

If \(A: B: C=1:4: 7 \) and \(B = (2x) % \)\(%\)\(\%\)of \((A+C)\), then \(x \) is :

If Mr. Ravi borrows a sum of ₹1,50,000 at an interest rate of 10% (flat) for a tenure of 3 years, then his EMI based on above data is (approximately) ₹:

The maximum value of Z=5x+3y subject to the constraints \(2x+4y \leq16,\) \(3x+y\leq9\). \(x,y\geq0\) is:

If \(\frac{x+y}{x-y}+\frac{x-y}{x+y}=\frac{10}{3}\),then \(\frac xy=\)

Shyam takes a loan of ₹5,00,000 with 8% annual interest rate for 10 years. The value of EMI under flat rate system is :

The rate of change of the area of a circular disc with respect to its circumference when radius is 3 is:

Angle between tangents to the curve y=x²-5x+6 at the points (2, 0) and (3, 0) is:

If \(f(x)=e^x\) and \(g(x)=log_{e}{x}=lnx  \) then \((gof)(x) \) is

The area of the region bounded by the line 2y = 5x +7, x-axis and the lines x - 1 and x -3 is :

The percent income of a year on 6% debentures of face value of ₹100 available in the market for ₹200 is:

If point \(B(0, 1)\) is equidistant from points\( A(5, -3) \)and \(C(x, 6)\), then find the values of \( x\)

The heights of two right circular cones are in the ratio \(1 : 2\) and the circumferences of their bases are in the ratio \(3: 4.\) Find the ratio of their volumes.

The integral \(∫\frac{dx}{x^2(x^4+1)}^{\frac{3}{4}}\) equals_____.

Which of the following are propositions ?
(A) The sum of four angles of quadrilateral is 180°.
(B) A line segment has two end points.
(C) 7𝑥+3=14
(D) 3 X 9=21

The interval in which the function \(f(x) = 10-6x-2x²\) is decreasing is:

The cost price 15 articles is equal to the selling price of 20 articles. Find the loss percentage.

The value of \(\int\limits_{-3}^2x^2 |2x| dx\) is:

If f(x) is a function which is derivable in an interval 1 containing a point c, then match List I with List II.

List I		List II
A.	f(x) has second order derivate at x = c such that f'(c) = 0 and f'(c) < 0; then	I.	point of inflexion of f(x)
B.	Necessary condition for point x = c to be extreme point of f(x) is	II.	‘c’ is point of local minima of f(x)
C.	If f'(x) does not change its sign as x crosses the point x = c then it is called a	III.	c is a critical point of f(x)
D.	f(x) has second order derivate at x = c such that f'(c) and f'(c) > 0; then	IV.	‘c’ is point of local maxima of f(x)

Choose the correct answer from the options given below :

Match List I with List II

Choose the correct answer from the options given below:

The integrating factor of differential equation \(\frac{dy}{dx}+y=\frac{1+y}{x}\) is: