Recent questions tagged q1

If $y=\sqrt{\large\frac{1-\cos x}{1+\cos x}}$,find $\large\frac{dy}{dx}$.

asked Apr 15, 2013 by sreemathi.v

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Find the equation of the normal to the ellipse $5x^2+3y^2=137$ at the point where the ordinate is 2.

asked Apr 15, 2013 by sreemathi.v

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Find the equation of the straight line through origin and passing through the intersection of lines $x-2y+3=0$ and $3x+5y+6=0$.

asked Apr 15, 2013 by sreemathi.v

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Find $x$ and $y$,if $x+y=\begin{bmatrix}7 & 0\\2 & 5\end{bmatrix}$ and $x-y=\begin{bmatrix}3 & 0\\0 & 3\end{bmatrix}$.

asked Apr 15, 2013 by sreemathi.v

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Find the order and degree of the following differential equation: $\sin x (dx + dy) =\cos x (dx - dy )$

asked Apr 14, 2013 by poojasapani_1

1 answer

Find the order and degree of the following differential equation: $\big(\large\frac{dy}{dx}) ^{2} +x=\large\frac{dx}{dy}+x^{2}$

asked Apr 14, 2013 by poojasapani_1

1 answer

Find the order and degree of the following differential equation: $y'+ (y'')^{2}$=$ x( x+y'' )^{2}$

asked Apr 14, 2013 by poojasapani_1

1 answer

Find the order and degree of the following differential equation: $y'+ (y'')^{2}=(x+y'')^{2}$

asked Apr 14, 2013 by poojasapani_1

1 answer

Find the order and degree of the following differential equation: $y''$=$ (y-y')^{\frac{2}{3}}$

asked Apr 14, 2013 by poojasapani_1

1 answer

Find the order and degree of the following differential equation: $\large\frac{d^{2}y}{dx^{2}}-y+(\large\frac{dy}{dx}+\frac{d^{3}y}{dx^{3}})^{\frac{3}{2}}$=$0$

asked Apr 14, 2013 by poojasapani_1

1 answer

Find the order and degree of the following differential equation: $\large\frac{d^{2}y}{dx^{2}}+x$=$\sqrt{y+\large\frac{dy}{dx}}$

asked Apr 14, 2013 by poojasapani_1

1 answer

Find the order and degree of the following differential equation: $y''+3y'^{2}+y^{3}$=$0$

asked Apr 14, 2013 by poojasapani_1

1 answer

Find the order and degree of the following differential equation: $y'+y^{2}$=$x$

asked Apr 14, 2013 by poojasapani_1

1 answer

Find the order and degree of the following differential equation: $\large\frac{dy}{dx}+y$=$x^{2}$

asked Apr 14, 2013 by poojasapani_1

1 answer

Find the equation of the standard rectangular hyperbola whose centre is $(\large-\frac{1}{2} , -\frac{1}{2})$ and which passes through the point $(1 , \large\frac{1}{4})$

asked Apr 13, 2013 by poojasapani_1

1 answer

Find the equation of the asmptotes to the hyperbola $ 8x^{2}+10xy-3y^{2}-2x+4y-2=0$

asked Apr 13, 2013 by poojasapani_1

1 answer

Find the equation of the asymptotes to the hyperbola $36x^{2}-25y^{2}=900$

asked Apr 13, 2013 by poojasapani_1

1 answer

Solve the following differential equation : $(x\cos y)dy=e^x(x\ log x+1)dx$.

asked Apr 12, 2013 by sreemathi.v

0 answers

If $(-2+\sqrt {-3})(-3+2\sqrt{-3})=a+ib$,find the real numbers a,b.With these values of a and b ,also find the modulus of $a+ib.$

asked Apr 12, 2013 by sreemathi.v

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The mean weight of 70 students in a class is 60 kg.The mean weight of the girls in the class is 53 kg and that of the boys is 70.5 kg.Find the number of girls in the class.

asked Apr 12, 2013 by sreemathi.v

0 answers

Two horses are considered for a race.The probability of selection of the first horse is $\large\frac{1}{4}$ and that of the second is $\large\frac{1}{3}$.What is the probability that :

asked Apr 12, 2013 by sreemathi.v

1 answer

Evaluate the following limit : $\lim_{x\to \large\frac{\pi}{4}}\large\frac{1-\tan x}{\cos 2x}$

asked Apr 12, 2013 by sreemathi.v

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Evaluate the following integral : $\int \large\frac{e^{2x}}{2+e^x}\normalsize dx.$

asked Apr 12, 2013 by sreemathi.v

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Find the derivative of $\sin x^2$ with respect to $x^3$.

asked Apr 12, 2013 by sreemathi.v

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Find the equations of the tangents of the parabola $y^2+12x=0$ from the point (3,8).

asked Apr 12, 2013 by sreemathi.v

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The lines $x-2y+6=0$ and $2x-y-10=0$ intersect at the point A.Find the equation of the line making an angle $45^{\circ}$ with the positive direction of the x-axis and passing through the point A.

asked Apr 12, 2013 by sreemathi.v

0 answers

If $M(\theta)=\begin{bmatrix}\cos \theta & \sin\theta\\-\sin\theta &\cos\theta\end{bmatrix}$,show that $M(x)M(y)=M(x+y).$

asked Apr 12, 2013 by sreemathi.v

1 answer

Solve the differential equation : $cosec ^3x\; dy-cosec y\;dx=0.$

asked Apr 11, 2013 by sreemathi.v

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If 1,$\omega{,\omega}^2$ are the three cube roots of unity,then simplify :$(3+5\omega+3{\omega}^2)^2(1+2\omega+{\omega}^2).$

asked Apr 11, 2013 by sreemathi.v

0 answers

If the regression equation of $x$ on $y$ is given by $mx-y+10=0$ and the equation of $y$ on $x$ is given by $-2x+5y=14$,determine the value of 'm' if the coefficient of correlation between $x$ and $y$ is $\large\frac{1}{\sqrt {10}}$.

asked Apr 11, 2013 by sreemathi.v

1 answer

A fair die is thrown once.What is the probability that either an even number or a number greater than three will turn up?

asked Apr 11, 2013 by sreemathi.v

1 answer

Evaluate : $\int_{-3}^3\mid x+2\mid dx.$

asked Apr 11, 2013 by sreemathi.v

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Evaluate : $\int\large\frac{x}{(x+1)^2}\normalsize dx.$

asked Apr 11, 2013 by sreemathi.v

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Evaluate : $\lim_{x\to \large\frac{\pi}{2}}[x\tan x-\large\frac{\pi}{2}\normalsize\ sec x]$

asked Apr 11, 2013 by sreemathi.v

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Show that the line $y=x+\sqrt 7$ touches the hyperbola $9x^2-16y^2=144.$

asked Apr 11, 2013 by sreemathi.v

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Solve : $Cos^{-1}[\sin(\cos^{-1}X)]=\large\frac{\pi}{3}$

asked Apr 11, 2013 by sreemathi.v

0 answers