Recent questions in Maths

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3 answers

On the ellipse \(4 x^{2}+9 y^{2}=1\), the points at which the tangents are parallel to the line \(8 x=9 y\) are

asked Dec 8, 2021 in Sets, relations and functions by deepak01 (12.2k points)

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1 answer

if \(f(x)\) is a function such that \(f^{\prime}(x)=(x-1)^{2}(4-x)\), then

asked Dec 8, 2021 in Sets, relations and functions by deepak01 (12.2k points)

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6 answers

If the parabola \(x^{2}=\) ay makes an intercept of length \(\sqrt{40}\) unit on the line \(y-2 x=1\) then a is equal to

asked Dec 8, 2021 in Sets, relations and functions by deepak01 (12.2k points)

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The coordinates of a point on the line \(x+y+1=0\) which is at a distance \(\frac{1}{5}\) unit from the line \(3 x+4 y+2=0\) are

asked Dec 8, 2021 in Sets, relations and functions by deepak01 (12.2k points)

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If the first and the \((2 n+1)^{\text {th }} t\) erms of an AP, GP and HP are equal and their \(n^{\text {th }}\) terms are respectively \(a, b, c\) then always

asked Dec 8, 2021 in Sets, relations and functions by deepak01 (12.2k points)

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1 answer

The equation \(x^{3}-y x^{2}+x-y=0\) represents

asked Dec 8, 2021 in Sets, relations and functions by deepak01 (12.2k points)

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2 answers

In a group 14 males and 6 females, 8 and 3 of the males and females respectively are aged above 40 years. The probability that a person selected at random from the group is aged above 40 years, given that the selected person is female, is

asked Dec 8, 2021 in Sets, relations and functions by deepak01 (12.2k points)

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1 answer

If \({ }^{n} C_{r-1}=36,{ }^{n} C_{r}=84\) and \({ }^{n} C_{r+1}=126\) then the value of \({ }^{n} C_{8}\) is

asked Dec 8, 2021 in Sets, relations and functions by deepak01 (12.2k points)

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3 answers

If \(\omega\) is an imaginary cube root of unity, then the value of \((2-\omega)\left(2-\omega^{2}\right)+2(3-\omega)\left(3-\omega^{2}\right)+\ldots . .+(n-1)(n-\omega)\left(n-\omega^{2}\right)\) is

asked Dec 8, 2021 in Sets, relations and functions by deepak01 (12.2k points)

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3 answers

If \(\alpha\) and \(\beta\) are roots of \(a x^{2}+b x+c=0\) then the equation whose roots are \(\alpha^{2}\) and \(\beta^{2}\) is

asked Dec 8, 2021 in Sets, relations and functions by deepak01 (12.2k points)

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3 answers

The sum of \(n\) terms of the following series; \(1^{3}+3^{3}+5^{3}+7^{3}+\ldots .\) is

asked Dec 8, 2021 in Sets, relations and functions by deepak01 (12.2k points)

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3 answers

If the matrix \(A=\left(\begin{array}{lll}2 & 0 & 0 \\ 0 & 2 & 0 \\ 2 & 0 & 2\end{array}\right)\), then \(A^{n}=\left(\begin{array}{lll}a & 0 & 0 \\ 0 & a & 0 \\ b & 0 & a\end{array}\right), n \in N\) where

asked Dec 8, 2021 in Sets, relations and functions by deepak01 (12.2k points)

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3 answers

The letters of the word COCHIN are permuted and all permutation are arranged in an alphabetical order as in an English dictionary. The number of words that appear before the word COCHIN is

asked Dec 8, 2021 in Sets, relations and functions by deepak01 (12.2k points)

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3 answers

The points of the ellipse \(16 x^{2}+9 y^{2}=400\) at which the ordinate decreases at the same rate at which the abscissa increases is/are given by

asked Dec 8, 2021 in Sets, relations and functions by deepak01 (12.2k points)

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3 answers

General solution of \(y \frac{d y}{d x}+b y^{2}=a \cos x, 0<x<1\) is

asked Dec 8, 2021 in Sets, relations and functions by deepak01 (12.2k points)

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3 answers

For non-zero vectors \(\vec{a}\) and \(\vec{b}\) if \(|\vec{a}+\vec{b}|<|\vec{a}-\vec{b}|\), then \(\vec{a}\) and \(\vec{b}\) are

asked Dec 8, 2021 in Sets, relations and functions by deepak01 (12.2k points)

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1 answer

If \([\mathrm{x}]\) denotes the greatest integer less than or equal to \(\mathrm{x}\), then the value of the integral \(\int_{0}^{2} \mathrm{x}^{2}[\mathrm{x}] \mathrm{dx}\) equals

asked Dec 8, 2021 in Sets, relations and functions by deepak01 (12.2k points)

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2 answers

Standard Deviation of n observations \(\mathrm{a}_{1}, \mathrm{a}_{2}, \mathrm{a}_{3} \ldots . \mathrm{a}_{\mathrm{n}}\) is \(\sigma .\) Then the standard deviation of the observations \(\lambda \mathrm{a}_{1}, \lambda \mathrm{a}_{2}, \ldots \lambda \mathrm{a}_{n}\)

asked Dec 8, 2021 in Sets, relations and functions by deepak01 (12.2k points)

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3 answers

If the function \(f: \mathbb{R} \rightarrow R\) is defined by \(f(x)=\left(x^{2}+1\right)^{35} \forall \in \mathbb{R}\), then \(f\) is

asked Dec 8, 2021 in Sets, relations and functions by deepak01 (12.2k points)

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If \(A=\left\{5^{n}-4 n-1: n \in N\right\}\) and \(B=\{16(n-1): n \in N\}\), then

asked Dec 8, 2021 in Sets, relations and functions by deepak01 (12.2k points)

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Recent questions in Maths

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