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Questions >> JEEMAIN and NEET >> Mathematics >> Class11

Class11

Relations and Functions

Trigonometric Functions

Complex Numbers and Quadratic Equations

Permutations and Combinations

Bionomial Theorem and Simple Applications

Sequence and Series

Coordinate Geometry: Straight Lines

Coordinate Geometry: Conic Sections

Coordinate Geometry

Limits and Derivatives

Mathematical Reasoning

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

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

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

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

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

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

Among 5 numbers a, b, c, d and e the relationships are: a, b, c are in AP and b, c, d are in GP and c, d, e are in HP. Find b, c, d if a = 2 and e = 18.

asked Dec 30, 2013 by yamini.v

2 answers

In a GP, the first term is $312\large\frac{1}{2}$ , the common ratio is $\large\frac{1}{2}$ . Find the sum of the series to $\infty$ terms.

asked Dec 30, 2013 by yamini.v

1 answer

The shortest distance between the lines $\large\frac{x-6}{1}=\frac{2-y}{2}=\frac{z-2}{2}$ and $\large\frac{x+4}{3}=\frac{y}{-2}=\frac{1-z}{2}$ is?

asked Dec 29, 2013 by rvidyagovindarajan_1

1 answer

If the equation of the plane containing the line $\large\frac{x-x_1}{l}=\frac{y-y_1}{m}=\frac{z-z_1}{n}$ is $a(x-x_1)+b(y-y_1)+c(z-z_1)=0$ , then ?

asked Dec 29, 2013 by rvidyagovindarajan_1

1 answer

The direction ratio of the normal to the plane through $(1,0,0),(0,1,0)$ , which makes $\large\frac{\pi}{4}$ with the plane $x+y=3$ is ?

asked Dec 28, 2013 by rvidyagovindarajan_1

1 answer

The equation of the plane passing through the point $(3,2,0)$ and the line $\large\frac{x-3}{1}=\frac{y-6}{5}=\frac{z-4}{4}$ is ?

asked Dec 28, 2013 by rvidyagovindarajan_1

1 answer

The two lines whose equations are given by $x=ay+b,\:\:z=cy+d\:\:\:and\:\:\:x=a'y+b',\:\:z=c'y+d'$ are $\perp$ if

asked Dec 28, 2013 by rvidyagovindarajan_1

1 answer

The line $\overrightarrow r=(4\hat i+2\hat j+\alpha \hat k)+\lambda(\hat i+\hat j+2\hat k)$ lies on the plane $2x-4y+z=7$ if $\alpha=?$

asked Dec 28, 2013 by rvidyagovindarajan_1

1 answer

A line makes angle $\theta$ with $x\:\:and\:\:z\:\:axis.$ If it makes angle $\beta$ with $y\; axis$ , where $sin^2 \beta=3sin^2\theta$ , then $cos^2\theta=?$

asked Dec 28, 2013 by rvidyagovindarajan_1

1 answer

If the lines $x=1+s,\:y=3-\lambda s,\:z=1+\lambda s\:\:and\:\:x=\large\frac{t}{2}$ , $y=1+t,\:z=2-t$ where $s\:\:and\:\:t$ are parameters, are $coplanar$ , then $\lambda=?$

asked Dec 28, 2013 by rvidyagovindarajan_1

1 answer

The distance of the line $\overrightarrow r=2\hat i-2\hat j+3\hat k+\lambda(\hat i-\hat j+4\hat k)$ from the plane $x+5y+z=5$ is ?

asked Dec 28, 2013 by rvidyagovindarajan_1

1 answer

$L$ is line of intersection of the planes $2x+3y+z=1\:\:and\:\:x+3y+2z=2$ and $\alpha$ is the angle made by the line $L$ with positive $x-axis$ then $cos\alpha=?$

asked Dec 28, 2013 by rvidyagovindarajan_1

1 answer

The line through the points $(5,1,a)\:\:and\:\:(3,b,1)$ crosses $yz$ plane at the point $(0,\large\frac{17}{2},-\frac{13}{2})$ , then $(a,b)=?$

asked Dec 27, 2013 by rvidyagovindarajan_1

1 answer

If $P(3,2,6)$ is a point and $Q$ is a point on the line $\overrightarrow r=(\hat i-\hat j+2\hat k)+\lambda(-3\hat i+\hat j+5\hat k),$ then the value of $\lambda$ for which $\overrightarrow {PQ}$ is parallel to the plane $x-4y+3z=1$ is ?

asked Dec 27, 2013 by rvidyagovindarajan_1

1 answer

If a line $\overline {AB}$ makes angle $45^{\circ}$ with positive $x-axis$ and $120^{\circ}$ with positive $y-axis$ , then the angle $\theta$ made by the line with positive $z-axis$ is ?

asked Dec 27, 2013 by rvidyagovindarajan_1

1 answer

If the distance of the point $P(1,-2,1)$ from the plane $x+2y-2z=a$ , where $a>0,$ is $5$ , then the foot of the $\perp$ from $P$ to this plane is ?

asked Dec 27, 2013 by rvidyagovindarajan_1

1 answer

The length of the perpendicular drawn from the point $(3,-1,11)$ on the line $\large\frac{x}{2}=\frac{y-2}{3}=\frac{z-3}{4}$ is?

asked Dec 27, 2013 by rvidyagovindarajan_1

1 answer

The distance of the point $(1,-5,9)$ from the plane $x-y+z=5$ measured along the line $x=y=z$ is ?

asked Dec 26, 2013 by rvidyagovindarajan_1

1 answer

If the lines $\overrightarrow r=(\hat i-\hat j+\hat k)+\lambda(2\hat i+3\hat j+4\hat k)\:\:and\:\:\overrightarrow r=(3\hat i+k\hat j)+\mu(\hat i+2\hat j+\hat k)$ intersect then $k=?$

asked Dec 26, 2013 by rvidyagovindarajan_1

1 answer

The equation of the plane which is parallel to the plane $x-2y+2z-5=0$ and which is at a unit distance from origin is ?

asked Dec 26, 2013 by rvidyagovindarajan_1

1 answer

The equation of the plane passing through the line of intersection of the planes $x+2y+3z-2=0\:\:and\:\:x-y+z-3=0$ and which is at a distance of $\large\frac{2}{\sqrt 3}$ units from $(3,1,-1)$ . is ?

asked Dec 26, 2013 by rvidyagovindarajan_1

1 answer

If $P$ is the point of intersection of the line joining the points $Q(2,3,5)\:\:and\:\:R(1,-1,4)$ with the plane $5x-4y-z-1=0$ . If $S$ is foot of $\perp$ drawn from the point $T(2,1,4)$ to the line $QR$ , then the length of segment $\overrightarrow {PS}$ = ?

asked Dec 25, 2013 by rvidyagovindarajan_1

1 answer

If the lines $\large\frac{x-1}{2}=\frac{y+1}{k}=\frac{z}{2}$ and $\large\frac{x+1}{5}=\frac{y+1}{2}=\frac{z}{k}$ are co planar then the plane containing these two lines is?,

asked Dec 25, 2013 by rvidyagovindarajan_1

1 answer

The intercepts cut off by the plane $\overrightarrow r.(2\hat i+\hat j-\hat k)=5$ with the axes are ?

asked Dec 24, 2013 by rvidyagovindarajan_1

1 answer

A line with positive direction cosines passes through the point $P(2,-1,2)$ and makes equal angle with coordinate axes. The line meets the plane $2x+y+z=9$ at the point $Q$ . The length of the segment $PQ$ =?

asked Dec 23, 2013 by rvidyagovindarajan_1

1 answer

If the line $\large\frac{x-2}{3}=\frac{y-1}{-5}=\frac{z-2}{2}$ lie in the plane $x+3y-\alpha z+\beta=0, \;\;then\:\:(\alpha,\beta)=?$

asked Dec 23, 2013 by rvidyagovindarajan_1

1 answer

The distance of the plane $2x-3y+6z+14=0$ from origin is ?

asked Dec 22, 2013 by rvidyagovindarajan_1

1 answer

$\lim\limits_{x\to 0}\large\frac{\sin(\pi\cos^2x)}{x^2}$ equals

asked Dec 20, 2013 by sreemathi.v

1 answer

For $x\in R\lim\limits_{x\to \infty}\big(\large\frac{x-3}{x+2}\big)^x$ =

asked Dec 20, 2013 by sreemathi.v

1 answer

If $G(x)=-\sqrt{25-x^2}$ then $\lim\limits_{x \to 1}\large\frac{G(x)-G(1)}{x-1}$ has the value

asked Dec 20, 2013 by sreemathi.v

1 answer

If $f(x)=\sqrt{\large\frac{x-\sin x}{x+\cos^2x}}$ then $\lim\limits_{x\to \infty}f(x)$ is

asked Dec 20, 2013 by sreemathi.v

1 answer

Find the equation of parabola with vertex (2,-3) and directrix x-4y-48=0.

asked Dec 20, 2013 by pranav_anshul

1 answer

$\lim\limits_{x\to \infty}\big(\large\frac{x+6}{x+1}\big)^{x+4}$ =

asked Dec 20, 2013 by sreemathi.v

1 answer

If $f(9)=9,f'(9)=4$ then $\lim\limits_{x\to 9}\large\frac{\sqrt{f(x)}-3}{\sqrt x-3}$ equals

asked Dec 20, 2013 by sreemathi.v

1 answer

$\lim\limits_{x\to -\infty}\bigg[\large\frac{x^4\sin(1/x)+x^2}{(1+|x|^3)}\bigg]$ =

asked Dec 20, 2013 by sreemathi.v

1 answer

$\lim\limits_{x\to 1}(1-x)\tan\large\frac{\pi x}{2}$ =__________

asked Dec 20, 2013 by sreemathi.v

1 answer

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