Questions by deepak01

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3 answers

For \(+\) ve integer \(n, n^{3}+2 n\) is always divisible by

asked Dec 8, 2021 in Sets, relations and functions

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1 answer

If, \(\frac{1}{{ }^{5} C_{t}}+\frac{1}{{ }^{6} C_{r}}=\frac{1}{{ }^{4} C_{t}}\), then the value of r equals to

asked Dec 8, 2021 in Sets, relations and functions

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3 answers

The number of ways in which the letters of the word ARRANGE can be permuted such that the R's occur together is

asked Dec 8, 2021 in Sets, relations and functions

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3 answers

If \(y=(1+x)\left(1+x^{2}\right)\left(1+x^{4}\right) \ldots . .\left(1+x^{2 n}\right)\) then the value of \(\left(\frac{d y}{d x}\right)\) at \(x=0\) is

asked Dec 7, 2021 in Sets, relations and functions

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1 answer

Angle between the planes x+y+2z=6 and 2x–y+z=9 is

asked Dec 7, 2021 in Some basic concepts in chemistry

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1 answer

Angle between the planes x+y+2z=6 and 2x–y+z=9 is

asked Dec 7, 2021 in Sets, relations and functions

0 votes

1 answer

A straight line joining the points (1,1,1) and (0,0,0) intersects the plane 2x+2y+z=10 at

asked Dec 7, 2021 in Sets, relations and functions

0 votes

1 answer

If the vertex of the conic \(y^{2}-4 y=4 x-4\) a always lies between the straight lines; \(x+y=3\) and \(2 x+2 y-1=0\)

asked Dec 7, 2021 in Sets, relations and functions

0 votes

5 answers

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

asked Dec 7, 2021 in Sets, relations and functions

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1 answer

Then equation of auxiliary circle of the ellipse \(16 x^{2}+25 y^{2}+32 x-100 y=284\) is

asked Dec 7, 2021 in Sets, relations and functions

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2 answers

A line passing through the point of intersection of \(x+y=4\) and \(x-y=2\) makes an angle \(\tan ^{-1}\left(\frac{y}{4}\right)\) with the \(x\)-axis. It intersects the parabola \(y^{2}=4(x-3)\) at points \(\left(x_{1}, y_{1}\right)\) and \(\left(x_{2}, y_{2}\right)\) respectively. Then \(\left|x_{1}-x_{2}\right|\) is equal to

asked Dec 7, 2021 in Sets, relations and functions

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1 answer

The equation of a line parallel to the line \(3 x+4 y=0\) and touching the circle \(x^{2}+y^{2}=9\) in the first quadrant is

asked Dec 7, 2021 in Sets, relations and functions

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3 answers

The locus of the point of intersection of the straight lines \(\frac{x}{a}+\frac{y}{b}=K\) and \(\frac{x}{a}-\frac{y}{b}=\frac{1}{k}\), where \(k\) is a non-zero real variable, is given by

asked Dec 7, 2021 in Sets, relations and functions

0 votes

1 answer

The line through the points (a, b) and (–a, –b) passes through the point

asked Dec 7, 2021 in Sets, relations and functions

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3 answers

x + 8y – 22 = 0, 5x + 2y – 34 = 0, 2x – 3y + 13 = 0 are the three sides of a triangle. The area of the triangle is

asked Dec 7, 2021 in Sets, relations and functions

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1 answer

The line AB cuts off equal intercepts 2a from the axes. From any point P on the line AB perpendiculars PR and PS are drawn on the axes. Locus of mid-point of RS is

asked Dec 7, 2021 in Sets, relations and functions

0 votes

1 answer

The line AB cuts off equal intercepts 2a from the axes. From any point P on the line AB perpendiculars PR and PS are drawn on the axes. Locus of mid-point of RS is

asked Dec 7, 2021 in Sets, relations and functions

0 votes

1 answer

The points \((-a,-b),(a, b),(0,0)\) and \(\left(a^{2}, a b\right), a \neq 0, b \neq 0\) are always lie on this line. Hence, collinear

asked Dec 7, 2021 in Sets, relations and functions

0 votes

1 answer

If in a triangle ABC,AD, BE and CF are the altitudes and R is the circumradius, then the radius of the circumcircle of DEF is

asked Dec 7, 2021 in Sets, relations and functions

0 votes

1 answer

The smallest positive root of the equation tan x – x = 0 lies in

asked Dec 7, 2021 in Sets, relations and functions

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