Recent questions in Class11

Two cars start at a point A at the same time. The first car goes with a uniform speed of 100 Km/hr and the second car starts at 80 for the first hour and increases the speed by 10 km/hr every hour. After how much time does the second car overtake the first car, assuming these are no stops in between.

asked Jan 6, 2014 by yamini.v

1 answer

Distance of a point $P(\overrightarrow c)$ from the the line $\overrightarrow r=\overrightarrow a+\lambda \overrightarrow b$ is ?

asked Jan 6, 2014 by rvidyagovindarajan_1

1 answer

Given an AP, if the sum of first 5 terms is 175 and the sum of first 10 terms is 700, find the sum of the first 7 terms.

asked Jan 6, 2014 by yamini.v

1 answer

Find the sum of all natural numbers between 45 and 300 that are exactly divisible by 7.

asked Jan 5, 2014 by yamini.v

1 answer

How many 3 digit numbers leave a remainder of 2 when divided by 7 ?

asked Jan 5, 2014 by yamini.v

1 answer

How many 3 digit numbers are divisible by 5?

asked Jan 5, 2014 by yamini.v

1 answer

A vector $\overrightarrow a$ is parallel to the line of intersection of planes $P_1$ containing vectors $\hat i,\:\hat i+\hat j$ and $P_2$ conataining vectors $\hat i-\hat j,\:\hat i+\hat k$. Then the angle between $\overrightarrow a$ and $\hat i-2\hat j+2\hat k$ is?

asked Jan 5, 2014 by rvidyagovindarajan_1

1 answer

How many two digit numbers are divisible by 4?

asked Jan 5, 2014 by yamini.v

1 answer

Which term of the sequence 130,126,122----- is the first negative term.

asked Jan 5, 2014 by yamini.v

1 answer

Find the value of $n$ such that the $n^{th}$ term of the sequences 27,24,21------- and 2,4,6----- are equal.

asked Jan 5, 2014 by yamini.v

1 answer

The vectors $\overrightarrow a,\overrightarrow b,\overrightarrow c\:\overrightarrow d$ be are such that $(\overrightarrow a\times\overrightarrow b)\times (\overrightarrow c\times\overrightarrow d)=0$ and $P_1,\:P_2$ are two planes containing the pair of vectors $\overrightarrow a,\overrightarrow b$ and $\overrightarrow c,\overrightarrow d$ respectively, then the angle between the planes is ?

asked Jan 5, 2014 by rvidyagovindarajan_1

1 answer

A line passes through the points with position vectors are $\hat i+\hat j-2\hat k$ and $\hat i-3\hat j+\hat k$. The position vector of a point on the line which is at a unit distance from the first point is ?

asked Jan 5, 2014 by rvidyagovindarajan_1

1 answer

If $\overrightarrow a,\overrightarrow b,\overrightarrow c$ are position vectors of three non collinear points $A,B,C$ respectively, then the shortest distance of $A$ from $BC$ is ?

asked Jan 5, 2014 by rvidyagovindarajan_1

1 answer

The distance of the point $(1,1,1) $ from the plane passing through the points $(2,1,1),\:(1,2,1)\:and\:(1,1,2)$ is ?

asked Jan 5, 2014 by rvidyagovindarajan_1

1 answer

The line joining the points $6\overrightarrow a-4\overrightarrow b-5\overrightarrow c$ and $-4\overrightarrow c$ and the line joining the points $-\overrightarrow a-2\overrightarrow b-3\overrightarrow c$ and $\overrightarrow a+2\overrightarrow b-5\overrightarrow c$ Intersects at the point ?

asked Jan 5, 2014 by rvidyagovindarajan_1

1 answer

The equation of the plane having intercepts of $3$ and $4$ with $x$ and $z$ axes respectively and parallel to $y$ axis is ?

asked Jan 4, 2014 by rvidyagovindarajan_1

1 answer

If the lines $x=1+s,\:y=-3-\lambda s,\:z=1+\lambda s$ and $x=t/2,\:y=1+t,\:z=2-t$ with parameters $s\:and\:t$ respectively, are coplanar, then $\lambda=?$

asked Jan 4, 2014 by rvidyagovindarajan_1

1 answer

The equation of the plane containing the lines $\overrightarrow r=\overrightarrow a_1+\lambda\overrightarrow b\:\:and\:\:\overrightarrow r=\overrightarrow a_2+\mu\overrightarrow b$ is ?

asked Jan 4, 2014 by rvidyagovindarajan_1

1 answer

The equation of the plane that contains the line $\overrightarrow r=2\hat i+\lambda(\hat j-\hat k)$ and $\perp$ to the plane $\overrightarrow r.(\hat i+\hat k)=3$ is ?

asked Jan 4, 2014 by rvidyagovindarajan_1

1 answer

The $n^{th}$ term of a progression is $2n+3$. What is the type of progression and what is its $15^{th}$ term.

asked Jan 4, 2014 by yamini.v

1 answer

The equation of the plane through the point $(1,2,-1)$ and $\perp$ to the line of intersection of the planes $\overrightarrow r.(3\hat i-\hat j+\hat k)=1$ and $\overrightarrow r.(\hat i+4\hat j-2\hat k)=2$ is?

asked Jan 4, 2014 by rvidyagovindarajan_1

1 answer

If the position vector of the points $A\:and\:B$ are $\hat i-\hat j+3\hat k$ and $3\hat i+3\hat j+3\hat k$ and the equation of a plane is $\overrightarrow r.(5\hat i+2\hat j-7\hat k)+9=0$, then the points $A\:and\:B$ are?

asked Jan 4, 2014 by rvidyagovindarajan_1

1 answer

The equation of the plane through origin and the line of intersection of the planes $\overrightarrow r.\overrightarrow a=\lambda\:\:and\:\:\overrightarrow r.\overrightarrow b=\mu$ is ?

asked Jan 3, 2014 by rvidyagovindarajan_1

1 answer

If $O$ is origin, $|\overrightarrow{OP}|=3$ with $d.r.=(-1,2,-2)$ then the coordinate of $P$ is ?

asked Jan 3, 2014 by rvidyagovindarajan_1

2 answers

For what value of n is $\frac{a^{n+1}+b^{n+1}}{a^n+b^n}$ the GM of 4 and 16.

asked Jan 3, 2014 by yamini.v

1 answer

Find the value of n such that $\frac{5^{(n+1)}+17^{(n+1)}}{5^n+17^n}$ is the AM of 5 and 17

asked Jan 3, 2014 by yamini.v

1 answer

If $P(x,y,z)$ is a point on the line segment joining $Q(2,2,4)\:\:and\:\:R(3,5,6)$ such that the projections of $\overrightarrow {OP}$ on the coordinate axes are $\large\frac{13}{5},\frac{19}{5},\frac{26}{5}$ respectively, then $P$ divides $QR$ in the ratio ?

asked Jan 3, 2014 by rvidyagovindarajan_1

1 answer

Given that $a\;\xi\;b$ are not equal , find the value of n so that $\frac{a^{n+1}+b^{n+1}}{a^n+b^n}$ is the GM of $a\;\xi\;b$

asked Jan 3, 2014 by yamini.v

1 answer

If n arithmetic means are interested between $0$ and $32$ such that the $2^{nd}$ mean is one-seventh of the $(n-1)^{th}$ mean, find the value of $n$.

asked Jan 3, 2014 by yamini.v

1 answer

Insert k arithmetic means between 1 and $k^2$ . what is the resulting series?

asked Jan 3, 2014 by yamini.v

1 answer

In the series 2,10,50 ------ the number of terms required to make a sum of 7812 is

asked Jan 3, 2014 by yamini.v

1 answer

Which term of the series $\frac{16}{9}$, $\frac{4}{3}$, $1$, $\frac{3}{4}$------is $\frac{243}{1024}$

asked Jan 3, 2014 by yamini.v

1 answer

The angles of a quadrilateral are in AP whose common difference is $10^0$. Find the angles.

asked Jan 3, 2014 by yamini.v

1 answer

Divide 44 into 4 parts following an AP such that the ratio of the product of extremes to the product of the means is 5:14.

asked Jan 3, 2014 by yamini.v

1 answer

If the $3^{rd}$ term of a GP is 18 and the $10^{th}$ term is 39366 , find the $7^{th}$ term of the GP.

asked Jan 3, 2014 by yamini.v

1 answer

If $P$ is a point in space such that $OP=12$ and $\overrightarrow {OP} $ is inclined with angle $45^{\circ} $ with $OX$ and $60^{\circ}$ with $OY$ then the coordinates of $P$ is ?

asked Jan 3, 2014 by rvidyagovindarajan_1

1 answer

Find the sum of the series 1.4 + 2.5 + 3.6----- upto 20 terms.

asked Jan 3, 2014 by yamini.v

1 answer

If $P(3,2,-4),\:Q(5,4,-6)\:and\:R(9,8,-10)$ are collinear,then $R$ divides $PQ$ in ratio?

asked Jan 3, 2014 by rvidyagovindarajan_1

1 answer

Find the sum of the series $3^2$ + $5^2$ + $7^2$ +-----upto 10 terms

asked Jan 3, 2014 by yamini.v

1 answer

If $\large\frac{1}{x+y}$, $\large\frac{1}{xy}$, $\large\frac{1}{y+z}$ are in AP, $x, y, z$ are in

asked Jan 3, 2014 by yamini.v

1 answer

The sum of three numbers in GP is 26. If 2,2,-6 are added to them respectively they form as.n AP . Find the number

asked Jan 3, 2014 by yamini.v

1 answer

The length of $\perp$ from origin to the plane passing through the point $\overrightarrow a$ and containing the line $\overrightarrow r=\overrightarrow b+\lambda \overrightarrow c$ is ?

asked Jan 3, 2014 by rvidyagovindarajan_1

1 answer

The product of $3$ numbers in $GP$ is $1000$. If $6$ and $7$ are added to the $2^{nd}$ and $3^{rd}$ terms respectively, the terms form an $AP.$ Find the $GP$.

asked Jan 3, 2014 by yamini.v

1 answer

Find the sum of n terms of the series 2.4 + 5.6 + 8.8 + 11.10 +---------

asked Jan 3, 2014 by yamini.v

1 answer

The equation of the plane through the line of intersection of the planes $ax+by+cz=d=0$ and $a'x+b'y+c'z+d'=0$ and parallel to the line $y=0,z=0$ is ?

asked Jan 3, 2014 by rvidyagovindarajan_1

1 answer

Find the sum of n terms of the series 1.5+3.8+5.11+---------------n

asked Jan 3, 2014 by yamini.v

1 answer

Find the sum of n terms of the series 2.4+5.7+8.10+------------

asked Jan 3, 2014 by yamini.v

1 answer

The line through the point $\hat i+3\hat j+2\hat k$ and $\perp$ to the lines $\overrightarrow r=(\hat i+2\hat j-\hat k)+\lambda(2\hat i+\hat j+\hat k)$ and $\overrightarrow r=(2\hat i+6\hat j+\hat k)+\mu (\hat i+2\hat j+3\hat k)$ is ?

asked Jan 3, 2014 by rvidyagovindarajan_1

1 answer

If a, b, c, d are in GP, what is the progression of $a^n + b^n$, $b^n + c^n$, $c^n + d^n$.

asked Jan 3, 2014 by yamini.v

1 answer

If a, b, c are in GP, find the value of $a^2b^2c^2(\large\frac{1}{a^3}+\large\frac{1}{b^3}+\large\frac{1}{c^3})$

asked Jan 3, 2014 by yamini.v

1 answer

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