Recent questions tagged easy

In a triangle $\bigtriangleup ABC$,a,b,c are its sides ,A,B $\xi\;$ C are its angles, if $\cot A,\cot B\;\xi\;\cot C$ are in AP , the a,b, and c are in which progression?

asked Jan 2, 2014 by yamini.v

1 answer

An infinite GP has its first term as x and sum is 6 , then which of the following is true?

asked Jan 2, 2014 by yamini.v

1 answer

If 5, x, y, z, 1280 are in GP, what are the values of x, y, z.

asked Jan 2, 2014 by yamini.v

1 answer

If the $4^{th}$ term of a GP is the square of its second term and the first term is -2. Find the $7^{th}$ term of the GP.

asked Jan 2, 2014 by yamini.v

1 answer

Given that a,b$\xi$ c are in AP,which of the following is true?

asked Jan 2, 2014 by yamini.v

1 answer

Find 3 numbers in AP whose sum is 18 and the sum of its cube is 972.

asked Jan 1, 2014 by yamini.v

1 answer

Find n such that is $\large\frac{512}{729}\;$is the nth term of the GP 18,-12,8,-----------------

asked Jan 1, 2014 by yamini.v

1 answer

The equation of a line that are equally inclined with the coordinate axis and and which passes through $(-1,2,3)$ is?

asked Jan 1, 2014 by rvidyagovindarajan_1

1 answer

Find n where 1536 is the nth term of the series 3,6,12---------------

asked Jan 1, 2014 by yamini.v

1 answer

What are next two terms of the GP $\sqrt{2},\;1/\sqrt{2},\;1/2\sqrt{2}$

asked Jan 1, 2014 by yamini.v

1 answer

The line $\large\frac{x-2}{3}=\frac{y-3}{4}=\frac{z-4}{5}$ is parallel to the which of the following?

asked Dec 31, 2013 by rvidyagovindarajan_1

1 answer

Integrate : $\int x\bigg( \large\frac{\sec 2x -1}{\sec 2x+1}\bigg) dx$

asked Dec 31, 2013 by meena.p

1 answer

If a line makes angle $\alpha,\:\beta,\:\gamma$ with $x-axis,\:y-axis\:and\:\:z-axis$ respectively, then $sin^2\alpha+sin^2\beta+sin^2\gamma=?$

asked Dec 31, 2013 by rvidyagovindarajan_1

1 answer

The angle between the planes $3x+4y+5z=3$ and $4x-3y+5z=2$ is ?

asked Dec 31, 2013 by rvidyagovindarajan_1

1 answer

The angle between the lines $\large\frac{2-x}{1}=\frac{y}{2}=\frac{z+3}{1}\:\:and\:\:\large\frac{x-4}{4}=\frac{y-1}{1}=\frac{z-5}{2}$ is?

asked Dec 31, 2013 by rvidyagovindarajan_1

1 answer

Integrate : $\int \large\frac{\sin 4x}{\sqrt {8+\sin ^4 2x}}$$dx$

asked Dec 31, 2013 by meena.p

1 answer

If both the roots of the quadratic equation $(b-c)x^2+(c-a)x+(a-b)=0$ are equal. Then $a, b, c$ are in

asked Dec 31, 2013 by yamini.v

1 answer

If both the roots of the quadratic equation $(b-c)x^2+(c-a)x+(a-b)=0$ are equal.Then a,b,c are in

asked Dec 31, 2013 by yamini.v

0 answers

If $a^2,b^2,c^2\;$ are in AP ,$\frac{1}{b+c},\frac{1}{a+c},\frac{1}{b+a}\;$ are in

asked Dec 31, 2013 by yamini.v

1 answer

Integrate : $\int \large\frac{1}{4x^2-6x+7}$$dx$

asked Dec 31, 2013 by meena.p

1 answer

The sum of terms of a series is $\frac{2^n-1}{3}$.What is the type of series AP or GP. What is the value of d or r (common difference of AP or common ratio of GP)

asked Dec 31, 2013 by yamini.v

1 answer

$f(x) =\int \large\frac{x^6+1}{x^2+1}$$dx+c,$ then find $f(0)-C=?$

asked Dec 31, 2013 by meena.p

1 answer

Find the sum of series 4 + 44 + 444 + 4444 +------upto n terms.

asked Dec 31, 2013 by yamini.v

1 answer

In a GP, the ratio of the sum of first 3 terms to the sum of first 6 terms is 125/152. Find the common of the GP.

asked Dec 31, 2013 by yamini.v

1 answer

Integrate : $\int \large\frac{3x^2+5}{(x^2+1)(x^2+4)}$

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $ \int \limits_0^1 x^4.e^x.dx$

asked Dec 31, 2013 by meena.p

1 answer

The product of 3 numbers in a GP is 64 and the sum of product of numbers taken in pairs is 56. Find the three numbers in GP.

asked Dec 31, 2013 by yamini.v

1 answer

Integrate : $\int \large\frac{3x}{(x+1)(x+2)}$$dx$

asked Dec 31, 2013 by meena.p

1 answer

If 4 positive numbers a, b, c and d are in HP, which of the following is true.

asked Dec 31, 2013 by yamini.v

1 answer

Given that $\frac{S_{1}}{S_{2}}=\frac{3n+8}{7n+5}$, $\frac{S_{1}}{S_{2}}$ is the ratio of sum of two APs to n terms, find the ratio of the 11<sup>th</sup> terms of the two APs.

asked Dec 31, 2013 by yamini.v

1 answer

Find the sum of the series -1 + 4 - 9 + 16 - 25 +-----+ 4008004.

asked Dec 31, 2013 by yamini.v

1 answer

Integrate : $\int \large\frac{3}{7} .\frac{2^{\Large \log e^{x^2}}}{x}.$$dx$

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{\cos^2 x}{\sin ^4 x }$$dx$

asked Dec 31, 2013 by meena.p

1 answer

Find the sum of the series $1^2$ - $2^2$ + $3^2$ - $4^2$ + $5^2$ - $6^2$.....$1000^2$.

asked Dec 31, 2013 by yamini.v

1 answer

In an AP, the sum of n terms is $n^2+1$. Find the 16th term.

asked Dec 30, 2013 by yamini.v

1 answer

In an AP, the sum of n terms is a function of n, $S_{n}=3n^2+2n.$ Find the rth term.

asked Dec 30, 2013 by yamini.v

1 answer

In a series -9,-6,-3,----, find the number of terms n to get a sum $S_{n}$ = 66.

asked Dec 30, 2013 by yamini.v

1 answer

If the 7th term of an AP is 23 and the 12th term is 38, find the first term 'a' and common difference 'd'.

asked Dec 30, 2013 by yamini.v

1 answer

Integrate : $ \int \large\frac{7}{3} \bigg( \frac{1}{x}-\frac{1}{x^2 }\bigg)$$ \times a (\log x + \large\frac{1}{x} ) $$dx$

asked Dec 30, 2013 by meena.p

1 answer

Find the sum of the series 1, $\frac {7}{5}$, $\frac {13}{25}$, $\frac {19}{25}$,----,$\infty$.

asked Dec 30, 2013 by yamini.v

1 answer

Integrate : $\int e^x \bigg( \sin ^{-1} x +\large\frac{1}{\sqrt {1-x^2}}\bigg) dx $

asked Dec 30, 2013 by meena.p

1 answer

Given that four positive numbers are in HP, which of the following is true.

asked Dec 30, 2013 by yamini.v

1 answer

The point on $x - axis $ which is equidistant from points $(4,3,1)\:\: and\:\: (-2,-6,-2)$ is?

asked Dec 30, 2013 by rvidyagovindarajan_1

0 answers

If position vector of the points $A,B,C,D$ are given by $7\hat i-4\hat j+7\hat k,\:\hat i-6\hat j+10\hat k,\:-\hat i-3\hat j+4\hat k\:\:and\:\:5\hat i-\hat j+5\hat k$ respectively, then $ABCD$ is ?

asked Dec 30, 2013 by rvidyagovindarajan_1

1 answer

The length of median through $A$ of the $\Delta\:ABC$ where $\overrightarrow {AB}=3\hat i+4\hat k\:\:and\:\:\overrightarrow {AC}=5\hat i-2\hat j+4\hat k$ is ?

asked Dec 30, 2013 by rvidyagovindarajan_1

1 answer

Integrate : $\int x.2^x dx$

asked Dec 30, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{1+\tan ^2 x }{1+\tan x }$$dx$

asked Dec 30, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{5}{8}.x.e{^{\Large x^2}}. \sec (e^{\Large x^2}).\tan (e^{x^2})dx$

asked Dec 30, 2013 by meena.p

1 answer

Let $f(x)=\left\{\begin{array}{1 1}\big[\tan(\large\frac{\pi}{4}\normalsize +x)\big]^{\large\frac{1}{x}}&x\neq 0\\k&x=0\end{array}\right.$.For what value of k,$f(x)$ is continuous at $x=0$

asked Dec 30, 2013 by sreemathi.v

1 answer

If $f(x)=\large\frac{1}{1-x}$,find the points of discontinuity of the composite function $y=f(f(f(x)))$

asked Dec 30, 2013 by sreemathi.v

1 answer

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