Recent questions in Mathematics

The angle between two lines is $\large\frac{\pi}{4}$ and the slope of one of them is $\large\frac{1}{4}$ and other is $x$ .Find the value of $x$ .

asked Feb 4, 2014 by sreemathi.v

1 answer

Find whether the point $A(1,2),B(3,6)$ & $C(5,10)$ are collinear or not?

asked Feb 4, 2014 by sreemathi.v

1 answer

Find the distance between two points (5,6) & (10,12)?

asked Feb 4, 2014 by sreemathi.v

1 answer

The image of the point (4,-3) with respect to the line $y=x$ is :

asked Feb 4, 2014 by sreemathi.v

1 answer

Find the equations of the bisectors of the angles between the straight lines $3x-4y+6=0$ and $12x+5y-3=0$ .

asked Feb 4, 2014 by sreemathi.v

1 answer

Find the distance between the lines $3x-4y+2=0$ & $3x-4y+10=0$ ?

asked Feb 4, 2014 by sreemathi.v

1 answer

Find the equation of line which is parallel to $3x-4y+10=0$ .Also find such line through the point (2,2)?

asked Feb 4, 2014 by sreemathi.v

1 answer

The length of perpendicular from the origin to a line is 6 and line makes an angle of $145^{\large\circ}$ with the positive direction of y-axis .Find the equation of line.

asked Feb 4, 2014 by sreemathi.v

1 answer

Find the equation of straight line passing through $(at_1,\large\frac{a}{t_1})$ & $(at_2,\large\frac{a}{t_2})$ ?

asked Feb 4, 2014 by sreemathi.v

1 answer

Find the equations of the bisectors of the angle between the co-ordinate axes?

asked Feb 4, 2014 by sreemathi.v

1 answer

Find the value of $m$ and $c$ if the straight line ( equation is $y=mx +c$ ) passes through the point $A(2,3)$ and $B(1,6)$ .

asked Feb 4, 2014 by sreemathi.v

1 answer

Find the equation of a line which is equidistant from the line $x=\large\frac{15}{2}$ and $x=\large\frac{1}{2}$ ?

asked Feb 4, 2014 by sreemathi.v

1 answer

General solution of differential equation : $(1+y^2)dx =(\tan^{-1}y -x)dy$

asked Feb 4, 2014 by meena.p

1 answer

General solution of differential equation ; $\large\frac{ydy}{xdx}+\frac{2(x^2+y^2)-1}{(x^2+y^2+1)}=0$

asked Feb 4, 2014 by meena.p

1 answer

$\large\frac{dy}{dx}$ $=(4x+y+1)^2$ if $dy(0)=1$

asked Feb 4, 2014 by meena.p

1 answer

General solution of differential equations: $\large\frac{dy}{dx}$ $=e^{3x-2y}+x^2e^{-2y}$

asked Feb 4, 2014 by meena.p

1 answer

Differential equation of all circles radius 5, with their centres on the y-axis.

asked Feb 4, 2014 by meena.p

1 answer

General solution of following differential $\in a ^n$ differential equations of a family of circles passing through the origin and having centre on the x axis

asked Feb 3, 2014 by meena.p

1 answer

Different equation of all parabola with x axis as the axis and $(a,0)$ as the focus

asked Feb 3, 2014 by meena.p

1 answer

A line passes through the points $A(1,2)$ and $B(4,+2)$ .Find the slope of the line parallel to AB ?

asked Feb 3, 2014 by sreemathi.v

1 answer

Find the angle between the lines whose slope are $\large\frac{3}{2}$ and 7?

asked Feb 3, 2014 by sreemathi.v

1 answer

Differential equation of all parabola with x axis as the axis and 4a as latus rectum .

asked Feb 3, 2014 by meena.p

1 answer

Determine the value of $\lambda$ so that 1 is the slope of line passing through (1,1) and $(\lambda,4)$ ?

asked Feb 3, 2014 by sreemathi.v

1 answer

The differential equation of the following equation $y=ae^{2x} +be^{-3 x} +ce^{x}$

asked Feb 3, 2014 by meena.p

1 answer

Find the inclination of the line whose slope is 1?

asked Feb 3, 2014 by sreemathi.v

1 answer

Solution of the general equation : $\large\frac{dy}{dx}$ $=\cos (x+y) - \sin (x+y)$

asked Feb 3, 2014 by meena.p

1 answer

Find the degree of the following differential equation $\bigg(\large\frac{d^2 y}{dx^2}\bigg)^{1/2} =\bigg( \large\frac{dy}{dx}+3\bigg)^{1/3}$

asked Feb 3, 2014 by meena.p

1 answer

$\large\frac{dy}{dx} =\large\frac{y+x+1}{y+x +5}$

asked Feb 3, 2014 by meena.p

1 answer

Find the solution of differential equation : $\large\frac{dy}{dx}=\frac{x^2+y^2}{xy}$

asked Feb 3, 2014 by meena.p

1 answer

Let $g(n)$ is a continuous differential function which takes positive value for $x \leq 0$ and satisfy $\int \limits_0^2 g(t) dt = x \sqrt {g(x)}$ with $f(1) =V_2$ . find the value of $f(\sqrt 2 +1)$

asked Feb 3, 2014 by meena.p

1 answer

Given $y(0) =2000$ and $\large\frac{dy}{dx} =3200-20y^2$ then find the value of $\displaystyle\lim _{x \to \infty} y(n)$

asked Feb 3, 2014 by meena.p

1 answer

General solution of differential equation : $(1-x^2)(1-y)dx -xy (1+y) dy=0$

asked Feb 3, 2014 by meena.p

1 answer

Solve: $xe^y dy -e^y dx=0$

asked Feb 3, 2014 by meena.p

1 answer

General solution of differential equation : $x^2e^y dy - (x-1) e^x dx=0$

asked Feb 3, 2014 by meena.p

1 answer

General solution of differential equation $x dy -y dx=0$

asked Feb 3, 2014 by meena.p

1 answer

General solution of differential equation : $x dy +y dx=0$

asked Feb 3, 2014 by meena.p

1 answer

2 separate reservation of oil A and B (capacity of $A=2 \times$ capacity of B) are filled completely with oil and oil is released simultaneously from both the reservoirs. The rate of flow of oil out of each reservoir at an instant of time is proportional to the quantity of oil in the reservoir at that time one hour after the oil is released the quantity of oil in reservoir A is 1.5 times the quantity of oil in reservoir B. If the reservoirs have same quantity of oil after $t= \large\frac{\log a}{\log b -\log c}$ then $a+b-c$

asked Feb 3, 2014 by meena.p

1 answer

General solution of differential equations: $e^y dx+(xe^y-2y)dy=0$

asked Feb 3, 2014 by meena.p

1 answer

General solution of differential equation: $\large\frac{xdy}{x^2+y^2}$ $+\bigg(1- \large\frac{y}{x^2+y^2} \bigg)$ $dx=0$ is

asked Feb 3, 2014 by meena.p

1 answer

General solution of $(2x^3-xy^2)dx+(2y^3-x^2y)dy=0$ is

asked Feb 3, 2014 by meena.p

1 answer

Karl - Pearson's coefficient of Skewness of a distribution is $0.4$ If SD is 6 and mean 40, then median of the distribution is

asked Feb 1, 2014 by thanvigandhi_1

1 answer

If SD of $X$ is $\sigma$ then SD of $\large\frac{aX+b}{c}$ ( where $a,b,c$ are constants ) is

asked Feb 1, 2014 by thanvigandhi_1

1 answer

The average speed of a car running at the rate of 15 km/hr during the first 30 km at 20 km/hr during the second 30 km and at 25 km/hr during the third 30 km is

asked Feb 1, 2014 by thanvigandhi_1

1 answer

For a perfect correlation between the variables $x$ and $y$ the line of regression is $ax+by+c=0$ where $a,b,c > 0$ then $r$ is

asked Feb 1, 2014 by thanvigandhi_1

1 answer

Two regression lines intersect at

asked Feb 1, 2014 by thanvigandhi_1

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If an experiment with 15 observations on $x$ the following results were available: $\Sigma x^2=2830 \: \Sigma x = 170$ . One observation that was 20 was found to be wrong and was replaced by the correct value 30. The corrected variance is

asked Feb 1, 2014 by thanvigandhi_1

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In a college of 300 students every student reads 5 newspapers and every newspaper is read by 60 students. The number of newspaper is

asked Feb 1, 2014 by thanvigandhi_1

1 answer

For $a$ bivariate distribution $(x,y)$ if $\Sigma x = 50 \: \Sigma y = 60 \: \Sigma xy = 350 \: \overline x = 5\: \overline y = 6 \: var \: x=4\: var \: y=9\: then \: r(x,y)=$

asked Feb 1, 2014 by thanvigandhi_1

1 answer

If two random variables $x$ and $y$ are connected by the relation $2x+y=3$ then $r_{xy} =$

asked Feb 1, 2014 by thanvigandhi_1

1 answer

$cov (x,y)$ if $\Sigma x = 55\: \Sigma y = 82\: \Sigma xy = 565\: n=8$ is

asked Feb 1, 2014 by thanvigandhi_1

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