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Recent questions in Mathematics
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JEEMAIN and NEET
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Mathematics
Mathematics
Limit, Continuity and Differentiability
Class11
Trigonometry
Class12
Sets, Relations and Functions
The letters of the word 'COCHIN' are permuted and all the permutations are arranged in alphabetical order as in Dictionary. The no. of words that appear before the word 'COCHIN' is?
jeemain
math
class11
ch7
permutations-and-combinations
permutations
medium
asked
Aug 12, 2013
by
rvidyagovindarajan_1
1
answer
There are 12 points in plane out of which 5 points are collinear. How many different lines can be drawn using these points?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
asked
Aug 12, 2013
by
rvidyagovindarajan_1
1
answer
There are 12 points in a plane out of which 7 points lie on a st. line (collinear). How many triangles can be formed using these points as vertices?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
asked
Aug 12, 2013
by
rvidyagovindarajan_1
1
answer
The total no. of ways in which 5 balls of different colours can be distributed among 3 persons so that each person gets atleast one ball is ?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
asked
Aug 12, 2013
by
rvidyagovindarajan_1
1
answer
Four couples (husband and wife) decide to form a committee of 4 members. How many ways this can be done so that no couple finds a place.
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
asked
Aug 11, 2013
by
rvidyagovindarajan_1
1
answer
The number of positive integral solutions of the equation $xyz=30$ is ?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
easy
asked
Aug 11, 2013
by
rvidyagovindarajan_1
1
answer
The studens of a class take a test having 10 questions of true or false objective type questions. No two students answer are same. None of the students has got all the answers correct. How many students are there in the class.
jeemain
math
class11
ch7
permutations-and-combinations
fundamental- principle-of- counting
difficult
asked
Aug 9, 2013
by
rvidyagovindarajan_1
1
answer
The number of seven digit integers whose sum of the digits is ten, formed by using the digits 1, 2 and 3 only is
jeemain
math
class11
ch7
permutations-and-combinations
permutations
medium
asked
Aug 9, 2013
by
rvidyagovindarajan_1
1
answer
There are two urns. Urn A has 3 distinct red balls and Urn B has 9 distinct blue balls. From each urn two balls are drawn at random and then transfered to other. The no. of ways in which this can be done is?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
asked
Aug 9, 2013
by
rvidyagovindarajan_1
1
answer
A student is to answer $10$ questions out of $13$ in an examination, so that he must choose at least $4$ from first $5$ questions. The no. of choices available to him is ?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
asked
Aug 8, 2013
by
rvidyagovindarajan_1
1
answer
The smallest positive natural number $n$ such that $n!$ is divisible by $990$ is ?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
easy
asked
Aug 8, 2013
by
rvidyagovindarajan_1
1
answer
If $\large\frac{1}{a},\frac{1}{b},\frac{1}{c} $ are in A.P., then the equation $a(b-c)x^2+b(c-a)x+c(a-b)=0$ has
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
medium
asked
Aug 8, 2013
by
rvidyagovindarajan_1
1
answer
If the ratio of the roots of $ax^2+bx+c=0$ is equal to the roots of the equation $ x^2+x+1=0$, then $a,b,c$ are in ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
easy
asked
Aug 8, 2013
by
rvidyagovindarajan_1
1
answer
If $\alpha$ is the fifth root of unity, then the value of $log_2 |1+\alpha+\alpha^2+\alpha^3-\large\frac{1}{\alpha}$$|=?$
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
medium
asked
Aug 6, 2013
by
rvidyagovindarajan_1
1
answer
If for any complex number $z$, $|z-1|=1$, then $\large\frac{z-2}{z}=?$
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
argand-plane-and-polar-representation
medium
asked
Aug 6, 2013
by
rvidyagovindarajan_1
1
answer
If $|z+\overline z|+|z-\overline z|=8$ then $z$ lies on ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
algebra-of-complex-numbers
medium
asked
Aug 6, 2013
by
rvidyagovindarajan_1
1
answer
If $z_r(r=1,2,......7)$ are the roots of $(z_r+1)^7+z_r^7=0$, then $\sum\limits_{r=1}^{7} Re(z_r)=?$
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
medium
asked
Aug 6, 2013
by
rvidyagovindarajan_1
1
answer
If $p,q\in \{1,2,3,4\},$ then the number of equations of the form $px^2+qx+1=0$ having real roots is?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
difficult
asked
Aug 6, 2013
by
rvidyagovindarajan_1
1
answer
If $3+\sqrt 2 i$ is a root of of $x^2+px+q=0$, then $(p,q)=?$
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
easy
asked
Aug 6, 2013
by
rvidyagovindarajan_1
1
answer
If $z$ is a complex number having non zero imaginary part and $z^2+z+1=a$ where $a$ is real, then $a$ cannot take which of the following values?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
mock
quadratic-equations
difficult
asked
Aug 5, 2013
by
rvidyagovindarajan_1
1
answer
The value of $b$ for which the eqns., $x^2+bx-1=0,\:x^2+x+b=0$ have one common root is
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
medium
asked
Aug 5, 2013
by
rvidyagovindarajan_1
1
answer
If the eqns., $x^2-6x+a=0$ and $x^2-5x+6=0$ have one root in common and the other roots are in the ratio 4:3, then the common root is
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
medium
asked
Aug 5, 2013
by
rvidyagovindarajan_1
1
answer
If $\cos\theta+2\cos\alpha+3\cos\beta=\sin\theta+2\sin\alpha+3\sin\beta=0$, then $\sin\;3\theta+8\sin\;3\alpha+27\sin\;3\beta=?$
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
difficult
asked
Aug 2, 2013
by
rvidyagovindarajan_1
1
answer
If $(\cos\alpha+i\sin\alpha)(\cos2\alpha+i\sin2\alpha)....(\cos n\alpha+i \sin n\alpha)$ = 1, then $\alpha$ = ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
medium
asked
Aug 2, 2013
by
rvidyagovindarajan_1
1
answer
The common roots to the equations $z^3+2z^2+2z+1=0\:\:and\:\:z^{149}+z^{100}+1=0$ are
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
easy
asked
Aug 2, 2013
by
rvidyagovindarajan_1
1
answer
For any complex number $z$, the minimum value of $|z|+|z-1|=?$
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
representation-of-complex-numbers
difficult
asked
Aug 1, 2013
by
rvidyagovindarajan_1
1
answer
The cube roots of $-1$ are?
jeemain
math
class11
ch2
complex-numbers-and-quadratic-equations
medium
asked
Aug 1, 2013
by
rvidyagovindarajan_1
1
answer
If $z_r=cos(\large\frac{\pi}{3^r})$$+isin(\large\frac{\pi}{3^r})$, where $r=1,2,3...........then \:\:z_1.z_2.z_3.....................\infty=?$
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
difficult
asked
Aug 1, 2013
by
rvidyagovindarajan_1
1
answer
If $a=\cos\alpha+i \sin\alpha$, $b=\cos\beta+i \sin\beta$, $c=\cos\gamma+i\sin\gamma$ and $\large\frac{b}{c}+\frac{c}{a}+\frac{a}{b}$ = 1, then $\cos(\beta-\gamma)+\cos(\gamma-\alpha)+\cos(\alpha-\beta)$ = ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
medium
asked
Aug 1, 2013
by
rvidyagovindarajan_1
1
answer
If $R_e\bigg(\large\frac{z-8i}{z+6}\bigg)$$=0$, then $z$ lies in the curve
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
algebra-of-complex-numbers
easy
asked
Aug 1, 2013
by
rvidyagovindarajan_1
1
answer
If $n$ is a positive integer, then $(1+i)^n+(1-i)^n=?$
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
easy
asked
Jul 31, 2013
by
rvidyagovindarajan_1
1
answer
$\large\frac{(cosx+isinx)(cosy+isiny)}{(cotu+i)(1+itanv)}=?$
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
algebra-of-complex-numbers
easy
asked
Jul 31, 2013
by
rvidyagovindarajan_1
1
answer
If $ \large\frac{3}{2+\cos\theta+i\sin\theta}=$$x+iy$, then $ (x-1)(x-3)=?$
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
algebra-of-complex-numbers
easy
asked
Jul 31, 2013
by
rvidyagovindarajan_1
1
answer
If $\omega$ is cube root of $1$ and $\alpha,\beta,\gamma$ are cube roots of $p$ , then for any real numbers $x,y,z$the value of $\large\frac{x\alpha+y\beta+z\gamma}{x\beta+y\gamma+z\alpha}$ is ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
difficult
asked
Jul 28, 2013
by
rvidyagovindarajan_1
1
answer
For any integer $ n$, the argument of $z=\large\frac{(\sqrt 3+i)^{4n+1}}{(1-\sqrt 3 i)^{4n}}$ is ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
modulus-and-conjugate-of-a-complex-number
medium
asked
Jul 28, 2013
by
rvidyagovindarajan_1
1
answer
If $z_1,z_2$ are any two complex numbers and $a,b$ are two real numbers, then $|az_1-bz_2|^2+|bz_1+az_2|^2=?$
jeemain
math
class11
ch2
complex-numbers-and-quadratic-equations
easy
asked
Jul 28, 2013
by
rvidyagovindarajan_1
1
answer
The value of $\sum\limits_{n=1}^{13} (i^n+i^{n+1})=?$
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
representation-of-complex-numbers
medium
asked
Jul 28, 2013
by
rvidyagovindarajan_1
1
answer
If $z_1,z_2,z_3,z_4$ are the roots of $z^4=1$, then $\sum\limits_{i=1}^4 z_i^3$=?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
algebra-of-complex-numbers
medium
asked
Jul 28, 2013
by
rvidyagovindarajan_1
1
answer
If conjugate of $(x+iy)(1-2i)=1+i$, then $(x,y)=?$
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
modulus-and-conjugate-of-a-complex-number
medium
asked
Jul 28, 2013
by
rvidyagovindarajan_1
1
answer
The complex number $\large\frac{1+2i}{1-i}$ lies in which quadrant?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
algebra-of-complex-numbers
easy
asked
Jul 28, 2013
by
rvidyagovindarajan_1
1
answer
The argument of $\large\frac{1-\sqrt 3i}{1+\sqrt 3i}=?$
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
modulus-and-conjugate-of-a-complex-number
easy
asked
Jul 28, 2013
by
rvidyagovindarajan_1
1
answer
If $z$ is a complex number and $a$ is real, then $(z+a)(\overline z+a)=?$
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
modulus-and-conjugate-of-a-complex-number
easy
asked
Jul 28, 2013
by
rvidyagovindarajan_1
1
answer
The complex numbers $z$ satisfying $|z|-4=0$ and $ |z-i|-|z+5i|=0$ are ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
modulus-and-conjugate-of-a-complex-number
easy
asked
Jul 27, 2013
by
rvidyagovindarajan_1
1
answer
The solution of the equation $xlog2+log(1+2^x)-log6=0$
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
medium
asked
Jul 27, 2013
by
rvidyagovindarajan_1
1
answer
The solution set of the equation $|x^2+x|=x^2+x$ is
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
easy
asked
Jul 27, 2013
by
rvidyagovindarajan_1
1
answer
If the equations $x^2+bx+c=0$ and $x^2+cx+b=0$ have one common root, then
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
easy
asked
Jul 27, 2013
by
rvidyagovindarajan_1
1
answer
If one root of the eqn., $x^2+px+12=0$ is 4, while the eqn., $x^2+px+q=0$ has equal roots, then the value of $q$=?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
easy
asked
Jul 27, 2013
by
rvidyagovindarajan_1
1
answer
If $p>0,\:q>0$, then the roots of $x^2-px-q=0$ are
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
algebra-of-complex-numbers
easy
asked
Jul 27, 2013
by
rvidyagovindarajan_1
1
answer
The quadratic eqn., whose one root is $2-\sqrt 3i$ is given by ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
easy
asked
Jul 27, 2013
by
rvidyagovindarajan_1
1
answer
If the roots of the eqn., $ax^2+bx+c=0$ are reciprocal to each other then,
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
easy
asked
Jul 27, 2013
by
rvidyagovindarajan_1
1
answer
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