Recent questions and answers in Sets, relations and functions

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A double ordinate \(P Q\) of the hyperbola \(\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1\) is such that \(\Delta O P Q\) is equilateral, \(O\) being the centre of the hyperbola. Then the eccentricity e satisfies the relation

answered 3 minutes ago in Sets, relations and functions by Amdbadark

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The length of conjugate axis of a hyperbola is greater than the length of transverse axis. Then the eccentricity e is,

answered 4 minutes ago in Sets, relations and functions by ioetutemakojo

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Let \(f(x)\) be a derivable function, \(f^{\prime}(x)>f(x)\) and \(f(0)=0\). Then

answered 10 minutes ago in Sets, relations and functions by Zbuismorm

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The point \(Q\) is the image of the point \(P(1,5)\) about the line \(y=x\) and \(R\) is the image of the point \(Q\) about the line \(y=-x\). The circumcenter of the \(\Delta P Q R\) is

answered 14 minutes ago in Sets, relations and functions by Amdbadark

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Let \(f\), be a continuous function in \([0,1]\), then \(\lim _{n \rightarrow \infty} \sum_{j=0}^{n} \frac{1}{n} f\left(\frac{j}{n}\right)\) is

answered 43 minutes ago in Sets, relations and functions by Amdbadark

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Let \(\rho\) be a relation defined on \(\mathbb{N}\), the set of natural numbers, as \(\rho=\{(x, y) \in \mathbb{N} \times \mathbb{N}: 2 x+y=41\}\) Then

answered 46 minutes ago in Sets, relations and functions by Zbuismorm

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A line with positive direction cosines passes through the point \(P(2,-1,2)\) and makes equal angle with co-ordinate axes. The line meets the plane \(2 x+y+z=9\) at point \(Q\). The length of the line segment \(P Q\) equals.

answered 52 minutes ago in Sets, relations and functions by Zbuismorm

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The normal to a curve at \(P(x, y)\) meets the \(x\)-axis at \(G\). If the distance of \(G\) from the origin is twice the abscissa of \(P\) then the curve is

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Q. If \(a, b\) and \(c \in N\) which one of the following is not true?

asked Jan 3, 2022 in Sets, relations and functions by kritika (90.1k points)

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2 answers

Q. Which one of the following statements is correct ?

asked Dec 31, 2021 in Sets, relations and functions by kritika (90.1k points)

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Q. A tangent to the hyperbola \(\frac{x^{4}}{4}-\frac{y^{2}}{2}=1\) meets \(\mathrm{x}\)-axis at \(P\) and \(\mathrm{y}\)-axis at \(Q .\) Lines \(P R\) and \(Q R\) are drawn such that \(O P R Q\) is a rectangle (where \(O\) is the origin). Then \(R\) lies on:

asked Dec 28, 2021 in Sets, relations and functions by kritika (90.1k points)

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