Recent questions in Maths

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The equation of the plane, which bisects the line joining the points \((1,2,3)\) and \((3,4,5)\) at right angles is,

asked Dec 11, 2021 in Sets, relations and functions by kritika (90.1k points)

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The direction ratios of the normal to the plane passing through the points \((1,2,-3),(-1,-2,1)\) and parallel to \(\frac{x-2}{2}=\frac{y+1}{3}=\frac{z}{4}\) is

asked Dec 11, 2021 in Sets, relations and functions by kritika (90.1k points)

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\(P\) is the extremity of the latusrectum of ellipse \(3 x^{2}+4 y^{2}=48\) in the first quadrant. The eccentric angle of \(P\) is

asked Dec 11, 2021 in Sets, relations and functions by kritika (90.1k points)

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The equation of the directrices of the hyperbola \(3 x^{2}-3 y^{2}-18 x+12 y+2=0\) is

asked Dec 11, 2021 in Sets, relations and functions by kritika (90.1k points)

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\(S\) and \(T\) are the foci of an ellipse and \(B\) is the end point of the minor axis. If \(S T B\) is equilateral triangle, the eccentricity of the ellipse is

asked Dec 11, 2021 in Sets, relations and functions by kritika (90.1k points)

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For the hyperbola \(\frac{x^{2}}{\cos ^{2} \alpha}-\frac{y^{2}}{\sin ^{2} \alpha}=1\), which of the following remains fixed when \(\alpha\) varies?

asked Dec 11, 2021 in Sets, relations and functions by kritika (90.1k points)

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If \(P(0,0), Q(1,0)\) and \(R\left(\frac{1}{2}, \frac{\sqrt{3}}{2}\right)\) are three given points, then the centre of the circle for which the lines \(P Q, Q R\) and \(R P\) are the tangents is

asked Dec 11, 2021 in Sets, relations and functions by kritika (90.1k points)

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1 answer

A variable circle passes through the fixed point \(A(p, q)\) and touches \(x\)-axis. The locus of the other end of the diameter through \(\mathrm{A}\) is

asked Dec 11, 2021 in Sets, relations and functions by kritika (90.1k points)

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If the point of intersection of the lines \(2 a x+4 a y+c=0\) and \(7 b x+3 b y-d=0\) lies in the 4 th quadrant and is equidistant from the two axes, where \(a, b, c\) and \(d\) are non-zero numbers, then ad : bc equals to

asked Dec 11, 2021 in Sets, relations and functions by kritika (90.1k points)

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1 answer

A variable line passes through the fixed point \((\alpha, \beta)\). The locus of the foot of the perpendicular from the origin on the line is,

asked Dec 11, 2021 in Sets, relations and functions by kritika (90.1k points)

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2 answers

A straight line through the point \((3,-2)\) is inclined at an angle \(60^{\circ}\) to the line \(\sqrt{3} x+y=1\). If it intersects the \(x\)-axis, then its equation will be

asked Dec 11, 2021 in Sets, relations and functions by kritika (90.1k points)

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2 answers

A variable line passes through a fixed point \(\left(x_{1}, y_{1}\right) \&\) meets the axes at \(A\) and \(B\). If the rectangle OAPB be completed, the locus of \(P\) is, ( \(O\) being the origin of the system of axes)

asked Dec 11, 2021 in Sets, relations and functions by kritika (90.1k points)

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1 answer

The angles of a triangle are in the ratio \(2: 3: 7\) and the radius of the circumscribed circle is \(10 \mathrm{~cm}\). The length of the smallest side is

asked Dec 11, 2021 in Sets, relations and functions by kritika (90.1k points)

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1 answer

If \(e^{\sin x}-e^{-\sin x}-4=0\), then the number of real values of \(x\) is

asked Dec 11, 2021 in Sets, relations and functions by kritika (90.1k points)

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1 answer

If \(X\) is a random variable such that \(\sigma(X)=2.6\), then \(\sigma(1-4 X)\) is equal to,

asked Dec 11, 2021 in Sets, relations and functions by kritika (90.1k points)

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3 answers

A problem in mathematics is given to 4 students whose chances of solving individually are \(\frac{1}{2}, \frac{1}{3}, \frac{1}{4}\) and \(\frac{1}{5}\). The probability that the problem will be solved at least by one student is

asked Dec 11, 2021 in Sets, relations and functions by kritika (90.1k points)

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Let the relation \(\rho\) be defined on \(R\) as \(a \rho b\) iff \(1+a b>0\). Then

asked Dec 11, 2021 in Sets, relations and functions by kritika (90.1k points)

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Let \(f: \mathbb{R} \rightarrow \mathbb{R}\) be defined by \(f(x)=x^{2}-\frac{x^{2}}{1+x^{2}}\) for all \(x \in \mathbb{R}\). Then

asked Dec 11, 2021 in Sets, relations and functions by kritika (90.1k points)

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Let \(P\) and \(T\) be the subsets of \(X-Y\) plane defined by \(P=\left\{(x, y): x>0, y>0\right.\) and \(\left.x^{2}+y^{2}=1\right\}\) \(T=\left\{(x, y): x>0, y>0\right.\) and \(\left.x^{8}+y^{8}<1\right\}\) Then \(\mathrm{P} \cap \mathrm{T}\) is

asked Dec 11, 2021 in Sets, relations and functions by kritika (90.1k points)

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Let \(A\) and \(B\) be two square matrices of order 3 and \(A B=O_{3}\), where \(O_{3}\) denotes the null matrix of order 3 . Then,

asked Dec 11, 2021 in Sets, relations and functions by kritika (90.1k points)

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Recent questions in Maths

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