Recent questions tagged q13

Show that the equation of the line passing through the origin and making an angle $ \theta $ with the line $y=mx+c$ is $ \large\frac{y}{x}$$ = \large\frac{m \pm \tan \theta}{1 \mp m \tan \theta}$

asked May 21, 2014 by thanvigandhi_1

1 answer

Four couples (husband and wife) decide to form a committee of four members.The number of different committees that can be formed in which no couple finds a place is

asked May 19, 2014 by sreemathi.v

1 answer

There are $10$ lamps in a hall.Each one of them can be switched on independently.Find the number of ways in which the hall can be illuminated.

asked May 15, 2014 by sreemathi.v

1 answer

Find the equation of the right bisector of the line segment joining the points (3,4) and (-1,2)

asked May 13, 2014 by thanvigandhi_1

1 answer

Prove the following statement by the principle of mathematical induction : \[\] $ \sqrt n <\large\frac{1}{\sqrt 1}$$+\large\frac{1}{\sqrt 2}$$+...+\large\frac{1}{\sqrt n}$, for all natural numbers $n \geq 2$.

asked May 5, 2014 by thanvigandhi_1

0 answers

Find the slope of the tangent to the curve $x^2+y^2=4x-2$at the point (3,1)

asked May 1, 2014 by meena.p

1 answer

Prove the following by using the principle of mathematical induction for all $n \in N$ \[\] $ \bigg( 1+ \large\frac{3}{1} \bigg)$$\bigg( 1+ \large\frac{5}{4} \bigg)$$\bigg( 1+ \large\frac{7}{9} \bigg)$$...\bigg( 1+ \large\frac{(2n+1)}{n^2} \bigg)$$=(n+1)^2$

asked Apr 30, 2014 by thanvigandhi_1

1 answer

If $\large\frac{\sin(x+y)}{\sin(x-y)}=\frac{a+b}{a-b}$ then show that $\large\frac{\tan x}{\tan y}=\frac{a}{b}$

asked Apr 18, 2014 by sreemathi.v

1 answer

Prove : $\cos^22x-\cos^26x=\sin 4x.\sin 8x$

asked Apr 17, 2014 by sreemathi.v

1 answer

Find the derivative of the following functions ( it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers ) $(ax+b)^n(cx+d)^m$

asked Apr 12, 2014 by thanvigandhi_1

1 answer

If $ y = 3 \cos \: (\log x ) + 4 \sin ( \log x )$, show that $x^2y_2 + xy_1 $

asked Apr 10, 2014 by balaji.thirumalai

1 answer

Find the equations of the hyperbola satisfying the given conditions: Foci: $(\pm 4 0)$, Latus Rectum is of length $12$.

asked Apr 8, 2014 by balaji.thirumalai

1 answer

The forward biased diode connection is

asked Apr 7, 2014 by meena.p

1 answer

Evaluate the following limits: $ \lim\limits_{x \to 0} \large\frac{ \sin \: ax}{bx}$

asked Apr 3, 2014 by thanvigandhi_1

1 answer

Find the equation of an ellipse that satisfies the following conditions: Ends of Major axis $\;(\pm3,0)$, Ends of Minor Axis $\;(0, \pm 2)$

asked Apr 2, 2014 by balaji.thirumalai

1 answer

Find the equation of the circle passing through the point $(0,0)$ and making intercepts $a$ and $b$ on the coordinate axis.

asked Apr 1, 2014 by balaji.thirumalai

1 answer

If $\large\frac{a+bx}{a-bx}=\frac{b+cx}{b-cx}=\frac{c+dx}{c-dx}$$\:(x\neq0)$, then show that $a,b,c\:and\:d$ are in G.P.

asked Mar 30, 2014 by rvidyagovindarajan_1

1 answer

The letter D in carbohydrates signifies

asked Mar 27, 2014 by thanvigandhi_1

1 answer

Solve the differential equation $(x^2-yx^2)dy+(y^2+x^2y^2)dx=0$ Given $y=1$ when $x=1$

asked Mar 21, 2014 by rvidyagovindarajan_1

1 answer

The reaction of Aniline with benzoyl chloride gives

asked Mar 21, 2014 by thanvigandhi_1

1 answer

In the manufacture of iron from heamatile, lime stone acts as a

asked Mar 17, 2014 by meena.p

1 answer

Which of the following relations is not correct?

asked Mar 15, 2014 by thanvigandhi_1

1 answer

Which of the following is the correct order of dipole moment value?

asked Mar 10, 2014 by sreemathi.v

1 answer

Caprolactum is the starting material for

asked Mar 6, 2014 by thanvigandhi_1

1 answer

Which of the following statement is correct?

asked Feb 28, 2014 by sreemathi.v

1 answer

How many terms of the G.P. $3,3^2,3^3.......$ are needed to give the sum $120$?

asked Feb 26, 2014 by rvidyagovindarajan_1

1 answer

If the sum of $n$ terms of an $A.P.$ is $3n^2+5n$ and its $m^{th}$ term is $164$, find the value of $m$.

asked Feb 23, 2014 by rvidyagovindarajan_1

1 answer

The correct order of reactivities of nucleophilic addition across -C=O of the RCOR ,RCHO and ArCHO is

asked Feb 19, 2014 by sreemathi.v

1 answer

Find the first $5$ terms of the series given by $a_1=a_2=2,\:a_n=a_{n-1}-1\:\:for\:\:n>2$

asked Feb 18, 2014 by rvidyagovindarajan_1

1 answer

X mL of $H_2$ gas effuses through a hole in a container is 5 Second. The time taken for the effusion of the same Volume of the gas Specified below under identical conditions is

asked Feb 13, 2014 by sharmaaparna1

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

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

asked Feb 3, 2014 by meena.p

1 answer

The number of moles of KI required to prepare are mole of $K_2[HgI_4]$

asked Jan 31, 2014 by sreemathi.v

1 answer

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