List of top Mathematics Questions

The equation of the normal to the curve y = 2sinx at (0, 0) is:

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:

The total cost of a firm is given by c(x)=\(\frac{2x^3}{3}-4x^2+8x+7. \) The level of output at which marginal cost is minimum is

The general solution of the differential equation ydx + xdy = 0 is:

The angle at which the normal to the plane 4x - 8y + z = 7 is inclined to y-axis is :

Let f: R→R defined by f(x)=2x³-7 for x∈R. Then:
(A) f is one-one function
(B) f is many to one function
(C) f is bijective function
(D) f is into function
Choose the correct answer from the options given below:

The function \(f(x)= \frac{x^4}{4}-\frac{x^2}{2}\) has

For real numbers a and b, define aRb if b-a+√5 is an irrational number. Then the relation R is:

The equation of the curve whose slope is given by \(\frac{dy}{dx}=\frac{4x}{y}\), x>0,y>0 and which passes through the point (2, 2) is: 

Which of the following is correct ?

Two friends A and B invest in a business in partnership, B borrows 20% of A's salary, combines it with 60% of his salary and invest with A, who puts all of his remaining salary. One year later the ratio of profit A and B is 5:3 respectively and B returns Rs. 21000 to A which he borrowed from him. What is the difference between salary of A and B ?

The marked price of a chair is \(150%\)\(\%\) of its cost price. A discount of \(30\%\) is given while selling the chair. What is the profit percentage?

The value of x given by \(cos (tan ^{-1}x) = sin (cot^{-1} \ \frac{3}{4})\)is:

Match List I with List II

List I		List II
A.	\(\frac{d^2y}{dx^2}+(\frac{dy}{dx})^{\frac{1}{2}}+x^{\frac{1}{2}}\)	I.	order 2, degree 1
B.	\(\frac{dy}{dx}=\frac{x^{\frac{1}{2}}}{y^{\frac{1}{2}}(1+x)^{\frac{1}{2}}}\)	II.	order 2, degree not defined
C.	\(\frac{d^2y}{dx^2}=\cos3x+\sin3x\)	III.	order 2, degree 4
D.	\(\frac{d^2y}{dx^2}+2\frac{dy}{dx}+y=\log(\frac{dy}{dx})\)	IV.	order 1, degree 2

Choose the correct answer from the options given below :

For the given five values 17, 26, 20, 35, 44, the three years moving averages are :

Find the missing term
1, 4, 27, 16, ?, 36, 343

A doll making small-scale unit calculates the variable cost of making x number of dolls per day as three times the square of \(x\). The fixed cost of packaging x dolls is  \(₹ 2800\). The marginal cost of producing 120 dolls:

Area of the region bounded by the curve |x|+|y|=1 and x-axis is :

If the selling price is doubled, the profit triples. Find the profit % :

For a certain data test statistic ‘t’ is calculated as : \(|t|=|\frac{65-68}{\frac{4}{\sqrt{15}}}|=2.90\), then select the correct option :

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

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

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

The vectors \(3\hat{i}-\hat{j}+2\hat{k},2\hat{i}+\hat{j}+3\hat{k}\) and \(\hat{i}+λ\hat{j}-\hat{k}\) are coplanar if λ is :