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Recent questions in CBSE XI
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CBSE XI
CBSE XI
Math
Physics
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Let roots of equation $x^2-ax+b$ be $\alpha,\beta$.Given $A_n=\alpha^n+\beta^n$ then,$A_{n+1}-aA_n+bA_{n-1}$ is equal to
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
difficult
asked
Apr 15, 2014
by
sreemathi.v
1
answer
If $x$ is real,then maximum value of $y=2(a-x)(x+\sqrt{x^2+b^2})$ is
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
difficult
asked
Apr 15, 2014
by
sreemathi.v
1
answer
Value of 'a' for which $x^2-(a+2)x+2a$ is perfect square is :
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
difficult
asked
Apr 15, 2014
by
sreemathi.v
1
answer
Given,$a(p+q)^2+2bpq+c=0$ and $a(p+r)^2+2bpr+c=0$.Then the value of qr is
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
difficult
asked
Apr 15, 2014
by
sreemathi.v
1
answer
$\alpha,\beta$ are roots of $ax^2+bx+c=0$.The value of $(a\alpha+b)^{-2}+(a\beta+b)^{-2}$ is
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
difficult
asked
Apr 15, 2014
by
sreemathi.v
1
answer
$a,b\in R$,roots of $x^2+ax+b=0$ are $\alpha,\beta$ and roots of $x^2+bx+a=0$ are $\alpha+k,\beta+k$ where $k\neq 0$.$\alpha,\beta,k$ are real,a & b are positive,then
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 15, 2014
by
sreemathi.v
1
answer
$a,b\in R$,roots of $x^2+ax+b=0$ are $\alpha,\beta$ and roots of $x^2+bx+a=0$ are $\alpha+k,\beta+k$ where $k\neq 0$.If $ab=\lambda$,then interval for $\lambda$ is
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 15, 2014
by
sreemathi.v
1
answer
$a,b\in R$,roots of $x^2+ax+b=0$ are $\alpha,\beta$ and roots of $x^2+bx+a=0$ are $\alpha+k,\beta+k$ where $k\neq 0$.Which of the following is true?
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 15, 2014
by
sreemathi.v
1
answer
$a,b,c$ are natural no and equations $x^2-5x+a=0,x^2-6x+b=0,x^2-8x+c=0$ have exactly one root in common and common root is also a natural no.$b+c$ is maximum when common root is :
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 15, 2014
by
sreemathi.v
1
answer
$a,b,c$ are natural no and equations $x^2-5x+a=0,x^2-6x+b=0,x^2-8x+c=0$ have exactly one root in common and common root is also a natural no.$(a+b+c)$ is minimum when common root is :
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 15, 2014
by
sreemathi.v
1
answer
$a,b,c$ are natural no and equations $x^2-5x+a=0,x^2-6x+b=0,x^2-8x+c=0$ have exactly one root in common and common root is also a natural no.(a+b+c) is maximum when common root is :
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 15, 2014
by
sreemathi.v
1
answer
$a,b,c$ are natural no and equations $x^2-5x+a=0,x^2-6x+b=0,x^2-8x+c=0$ have exactly one root in common and common root is also a natural no.The common root is :
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 15, 2014
by
sreemathi.v
1
answer
The set of values of 'a' for which roots of equation $3x^2+2x+(a-1)a=0$ are of opposite sign
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 15, 2014
by
sreemathi.v
1
answer
$\sin \theta$ and $\cos\theta$ are roots of equation $ax^2+bx+c=0$ then,
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 15, 2014
by
sreemathi.v
1
answer
Roots of equation $x^2+px-q=0$ are $\tan 30^{\large\circ}$ and $\tan 15^{\large\circ}$,then value of $2-q-p$ is :
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 15, 2014
by
sreemathi.v
1
answer
If one root of $(a^2-5a+3)x^2+(3a-1)x+2=0$ is double the other,then the value of a is :
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 15, 2014
by
sreemathi.v
1
answer
If one root of the equation $8x^2-6x-k-3=0$ is square of other,then value of $k$ is
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 14, 2014
by
sreemathi.v
1
answer
Values of $\lambda$ for which $(\lambda^2-5\lambda+6)x^2+(\lambda-3\lambda+2)x+\lambda^2-4=0$ is an identity in x is:
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 14, 2014
by
sreemathi.v
1
answer
$\alpha^2=5\alpha-3,\beta^2=5\beta-3\quad(\alpha\neq \beta)$,then the equation whose roots are $\large\frac{\alpha}{\beta}$ and $\large\frac{\beta}{\alpha}$ is :
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 14, 2014
by
sreemathi.v
1
answer
The equation whose roots A.M=9 and G.M=4 is
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 14, 2014
by
sreemathi.v
1
answer
Roots of equation $(b-c)x^2+(c-a)x+(a-b)=0$ are
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 14, 2014
by
sreemathi.v
1
answer
Number of roots of equation $x-\large\frac{2}{x-1}$$=1-\large\frac{2}{x-1}$ is
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 14, 2014
by
sreemathi.v
1
answer
If $\alpha,\beta$ are the roots of $ax^2+bx+c=0$ then equation whose roots are $2+\alpha,2+\beta$ are
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 14, 2014
by
sreemathi.v
1
answer
Roots of the equation $12x^2+mx+5=0$ are in the ratio $3 : 2$,then $m$ equals
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 14, 2014
by
sreemathi.v
1
answer
If $x$ is real,$\large\frac{x^2+3yx-71}{x^2+2x-7}$ cannot lie between
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 14, 2014
by
sreemathi.v
1
answer
Range of $y=\large\frac{x+2}{2x^2+3x+6}$ if $x$ is real is :
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 14, 2014
by
sreemathi.v
1
answer
The range of $y=\large\frac{x^2-x+1}{x^2+x+1}$ if $x$ is real
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 14, 2014
by
sreemathi.v
1
answer
If $ax^2-bx+5=0$ does not have two distinct real roots,then minimum value of $5a+b$ is
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 14, 2014
by
sreemathi.v
1
answer
$\alpha,\beta$ are roots of equation $ax^2+bx+c=0$.Equation whose roots are $\large\frac{1-\alpha}{\alpha}$ and $\large\frac{1-\beta}{\beta}$ are
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 14, 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 ) $(x+\cos x)(x-\tan x)$
math
cbse
class11
ch13
limits-and-derivatives
bookproblem
misc
p317-318
q25
asked
Apr 14, 2014
by
thanvigandhi_1
0
answers
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^2+\sin x) (p+q \: \cos x)$
math
cbse
class11
ch13
limits-and-derivatives
bookproblem
misc
p317-318
q24
asked
Apr 14, 2014
by
thanvigandhi_1
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 ) $(x^2+1) \cos x$
math
cbse
class11
ch13
limits-and-derivatives
bookproblem
misc
p317-318
q23
asked
Apr 14, 2014
by
thanvigandhi_1
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 ) $x^4(5 \sin x-3 \cos x)$
math
cbse
class11
ch13
limits-and-derivatives
bookproblem
misc
p317-318
q22
asked
Apr 14, 2014
by
thanvigandhi_1
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 ) $\large\frac{\sin (x+a)}{ \cos x}$
math
cbse
class11
ch13
limits-and-derivatives
bookproblem
misc
p317-318
q21
asked
Apr 14, 2014
by
thanvigandhi_1
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 ) $\large\frac{a+b \sin x}{c+d \cos x}$
math
cbse
class11
ch13
limits-and-derivatives
bookproblem
misc
p317-318
q20
asked
Apr 14, 2014
by
thanvigandhi_1
1
answer
Find the real numbers x and y if $\;(x-iy)(3+5i)\;$ is the conjugate of $\;-6-24i$
math
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-misc
medium
sec-c
asked
Apr 14, 2014
by
yamini.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 ) $\sin^n x$
math
cbse
class11
ch13
limits-and-derivatives
bookproblem
misc
p317-318
q19
asked
Apr 14, 2014
by
thanvigandhi_1
1
answer
Find the modulus and argument of the complex number $\;\large\frac{1+2i}{1-3i}$
math
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-misc
medium
sec-c
asked
Apr 14, 2014
by
yamini.v
1
answer
Let $\;z_{1}=2-i\;,z_{2}=-2+i\;$. Find (i)$\;Re(\large\frac{z_{1}z_{2}}{\overline{z_{1}}})\;,$ (ii) $\;Im(\large\frac{1}{z_{1} \overline{z_{2}}})$
math
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-misc
medium
sec-c
asked
Apr 14, 2014
by
yamini.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 ) $\large\frac{\sec x - 1}{\sec x +1}$
math
cbse
class11
ch13
limits-and-derivatives
bookproblem
misc
p317-318
q18
asked
Apr 14, 2014
by
thanvigandhi_1
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 ) $\large\frac{\sin x+\cos x}{\sin x - \cos x}$
math
cbse
class11
ch13
limits-and-derivatives
bookproblem
misc
p317-318
q17
asked
Apr 14, 2014
by
thanvigandhi_1
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 ) $\large\frac{\cos x}{1+\sin x}$
math
cbse
class11
ch13
limits-and-derivatives
bookproblem
misc
p317-318
q16
asked
Apr 14, 2014
by
thanvigandhi_1
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 ) $ cosec \: x \cot x$
math
cbse
class11
ch13
limits-and-derivatives
bookproblem
misc
p317-318
q15
asked
Apr 14, 2014
by
thanvigandhi_1
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 ) $\sin (x+a)$
math
cbse
class11
ch13
limits-and-derivatives
bookproblem
misc
p317-318
q14
asked
Apr 14, 2014
by
thanvigandhi_1
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$
math
cbse
class11
ch13
limits-and-derivatives
bookproblem
misc
p317-318
q13
asked
Apr 12, 2014
by
thanvigandhi_1
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$
math
cbse
class11
ch13
limits-and-derivatives
bookproblem
misc
p317-318
q12
asked
Apr 12, 2014
by
thanvigandhi_1
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 ) $4\sqrt x - 2$
math
cbse
class11
ch13
limits-and-derivatives
bookproblem
misc
p317-318
q11
asked
Apr 12, 2014
by
thanvigandhi_1
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 ) $\large\frac{a}{x^4}-\large\frac{b}{x^2}$$+\cos x$
math
cbse
class11
ch13
limits-and-derivatives
bookproblem
misc
p317-318
q10
asked
Apr 12, 2014
by
thanvigandhi_1
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 ) $\large\frac{px^2+qx+r}{ax+b}$
math
cbse
class11
ch13
limits-and-derivatives
bookproblem
misc
p317-318
q9
asked
Apr 12, 2014
by
thanvigandhi_1
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 ) $\large\frac{ax+b}{px^2+qx+r}$
math
cbse
class11
ch13
limits-and-derivatives
bookproblem
misc
p317-318
q8
asked
Apr 12, 2014
by
thanvigandhi_1
1
answer
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