List of top Mathematics Questions asked in CUET (PG)

If W is a subspace of R3, where W = {(a, b, c): a+b+c = 0}, then dim W is equal to
The equation of the bisector of the acute angle between the lines 3x-4y+7=0 and 12x+5y-2=0
Which of the following is incorrect?
The general solution of differential equation \(\frac{d^2y}{dx^2}+9y=sin^3x\) is
(given that c1 and c2 are arbitrary constants)
If \(\overrightarrow F=2z\hat{i}-x\hat{j}+y\hat{k}\) and Vis the region bounded by the surface x=0,y=0,x=2,y=4,z=x2,z=2, then value of \(\iiint\limits_V\overrightarrow FdV\)is
Which of the following are generators of the multiplicative group {(1,2,3,4,5,6), x7} where x7 denotes multiplication moduls 7?
In a group G, if a5 = e, aba-1 = b2 for a, b ∈ G then o(b) is equal to:
A beam is supported at its ends by supporters which are 12 meters apart. Since the load is concentrated at its centre, there is a deflection of 3 cm at the centre and the deflected beam is in the shape of a parabola. How far from the centre is the deflection 1 cm?
In a class of 49 students, the ratio of girls to boys is 4:3. If 4 girls leave the class, the ratio of girls to boys would be
The tangent to the hyperbola x2-y2 = 3 are parallel to the straight line 2x + y +8=0 points are
Which one of the following statements is wrong.
The integrating factor of the differential equation \(\frac{dy}{dx}=\frac{x^3+y^3}{xy^2}\)is
The number of common tangents that can be drawn to the circle x2+y2-4x-6y-3=0 and x2+y2+2x+2y+1=0 is
Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R):
Assertion (A): Equation 5x-7y+z=11, 6x-8y-z=15 and 3x+2y-6z=7, then the system is consistent and has infinitely many solutions.
Reasons (R): If D=0 then the 3 linear equations is consistent and has infinitely many solutions if D1 = D2 = D3=0.
In the light of the above Statements, choose the correct answer from the options given below :
Which one of the following is wrong?
The Value of \(lim_{n\rightarrow \infty }\bigg[\frac{2}{1}\bigg(\frac{3}{2}\bigg)^2\bigg(\frac{4}{3}\bigg)^3.....\bigg(\frac{n+1}{n}\bigg)^n\bigg]^{\frac{1}{n}}is\)
The solution of (x2 -√2y) dx + (y2 - √2x) dy = 0 is given by
The average of 5 consecutive odd positive integers is 9. Then sum of smallest and greatest number is
The value of \(\int\limits_C \frac{\sin\pi z^2+\cos\pi z^2}{(z-1)(z-2)}dz\), where C is the circle |z|=3 is
With the help of suitable transform of the independent variable, the differential equation
\(x\frac{d^2y}{dx^2}+\frac{2dy}{dx}=6x+\frac{1}{x}\) reduces to the form:
If \(x^2\frac{d^2y}{dx^2}-2x\frac{dy}{dx}-4y=x^4\), then particular integral (P.I) of the given differential equation is
If \(\vec{a},\vec{b},\vec{c}\) are non-coplanar unit vectors such that \(\vec{a}\times(\vec{b}\times \vec{c})=\frac{(\vec{b}+\vec{c})}{\sqrt2}\) then the angle between a and b is
if \(\vec{a}\), \(\vec{b}\) and \(\vec{c}\) are three non-coplanar vectors, then \((\vec{a}+\vec{b}+\vec{c}) [(\vec{a}+\vec{b})\times(\vec{a}+\vec{c})]\) equal to
The variance of a series of numbers 2, 3, 11 and x is 12.25. Find the value of x.
A single 6-sided dice is rolled, then the probability of getting an odd number is