From curve 1: dxdy=2xyx2−y2=m1. From curve 2: dxdy=x2−y2−2xy=m2. Then m1⋅m2=−1, so curves cut at right angles.
Mr. Ram took a loan of Rs. 4,00,000 at 10% annual interest rate and paid Rs. 20,000 as monthly instalment under flat rate system. What is the term of the loan ?
Held on 30 May 2023 · Verified 13 Jul 2026.
5 years
4 years
3 years
2 years
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If the total cost and total revenue of a company that produces and sells $x$ units of a particular product are $C(x) = 5x + 350$ and $R(x) = 50x - x^2$ respectively, then which of the following is/are the breakeven values: (A) $x = 10$ (B) $x = 25$ (C) $x = 45$ (D) $x = 30$ Choose the correct answer from the options given below:
The supply function of a commodity is P = $x^3+2x+18$. When 4 units of commodity are sold , then producer surplus is:
The demand function P for maximising a profit monopolist is given by P=274-x², while the marginal cost is 4+3x for x units of commodity. The consumer surplus is
If $y = e^{\frac{1}{2}\log(1+ \tan^2 x)}$, then $\frac{d^2y}{dx^2}$ is equal to:
If the random variable X follows the Poisson distribution such that P[X = k] = P[X = k+1], then the mean value of X is:
Work through every CUET UG Applied-Mathematics PYQ, year by year.