Explore topic-wise InterviewSolutions in .

The absolute difference of the two positive numbers whose arithmetic mean is $34$ and the geometric mean is $16,$ is

The value of $\left|\frac{\sqrt{3}+i}{{\left[1+\frac{1}{(1-i)}\right]}^2}\right|$ is (where $i=\sqrt{-1}$)



$\left|\frac{\sqrt{3}+i}{{\left[1+\frac{1}{(1-i)}\right]}^2}\right|$ का मान है (जहाँ $i=\sqrt{-1}$)

Consider a plane $x+y-z=1$ and point $A(1,2,-3).$ A line $L$ has the equation $x=1+3r,y=2-r$ and $z=3+4r.$



The equation of the plane containing line $L$ and point $A$ has the equation

The term independent of $x$ in the expansion ${(\frac{\sqrt{x}}{\sqrt{3}}+\frac{\sqrt{3}}{2x^2})}^{10}$ is equal to:

If $(1+x+x^2{)}^{20}=a_0+a_{1}x+a_2{x}^2+\cdots +a_{40}{x}^{40}$, then the value of $a_0+3a_1+5a_2+\cdots +81a_{40}$ is:

Consider a complete binary tree where the left and the right subtrees of the root are max-heaps. The lower bound for the number of operations to convert the tree to a heap is

The number of solution(s) of $y=x^2+10x+22$ and $y=e^x$ is

The centre of circle $x^2+y^2+16x-22y-20=0,$ is

If (a, b), (c, d), (e, f) are the vertices of a triangle such that a, c, e are in GP with common ratio r and b, d, f are in GP with common ratio s, then the area of the triangle is

Prepare bank reconciliation statement of Shri Bhandari as on December 31, 2010

(i) The Payment of a cheque for Rs. 550 was recorded twice in the passbook.

(ii) Withdrawal column of the passbook undercast by Rs. 200.

(iii) A cheque of Rs. 200 has been debited in the bank column of the cash book but it was not sent to the bank at all.

(iv) A cheque of Rs. 300 debited to bank column of the cash book was not sent to the bank.

(v) Rs. 500 in respect of dishonoured cheque were entered in the pass book but not in the cash book.

Overdraft as per pass book is Rs. 20,000.

Which of the following is parallel to plane 3x - 3y +4z = 7?

If both the roots of the quadratic equation $x^2-mx+4=0$ are real and distinct and they lie in the interval $[1,5]$, then $m$ lies in the interval :

Q. नीचे दी गयी आकृतियों का अवलोकन करें। बाएं से दाएं निरीक्षण करने पर हम पाते हैं कि वे कुछ नियमों के साथ परिवर्तित हो रही हैं:


इसी नियमानुसार परिवर्तित करने पर निम्नलिखित में से कौन-सी आकृति अगली आकृति होगी?

Interval in which $‘a^{\prime }$ lies so that $x^3–3x+a=0$ has three real and distinct roots.

If A, B, C be the angles of a triangle, then which of the following hold good?

Find the value of tan (A + B) if the roots of the equation $6x^2-5x+1=0$ are tan A and tan B

If the point of contact of the circle $x^2+y^2-30x+6y+109=0$ with the tangent 11x - 2y - 46 = 0 is (a, b), find a + b

___

Number of ways of arranging $5$ different objects in the squares of given figure in such a way that no row remains empty and one square can't have more then one object.

The sum to infinite terms of the series $cose{c}^{-1}\sqrt{10}+cose{c}^{-1}\sqrt{50}+cose{c}^{-1}\sqrt{170}+......+cose{c}^{-1}\sqrt{(n^2+1)(n^2+2n+2)}$ is

Let $S=S_1\cap S_2\cap S_3,$ where

$S_1=\{zϵC:|z|<4\},S_2=\{zϵC:Im\left[\frac{z-1+\sqrt{3}i}{1-\sqrt{3}i}\right]>0\}and{S}_3=\{zϵC:Re(z)>0\}.$

Area of $S=$

The general solution of sin = 0 is

In an experiment, the percentage of error occured in the measurement of physical quantities A, B, C and D are 1%, 2%, 3% and 4 % respectively. Then, the maximum percentage of error in the measurement of $X$, where $X=\frac{A^2{B}^{1/2}}{C^{1/3}{D}^3}$, will be

The value of the limit $\underset{x\to \infty }{\lim }\left(\sqrt{x+3}-\sqrt{x}\right\}\sqrt{x+1}$ is

If r is a fixed positive integer, then if we use induction we can find that the expression (r+1)(r+2)(r+3)....(r+n) is always divisible by

Match the following:
Given $\sin A=\frac{2}{3}$ and $\sin B=\frac{1}{4}$

The coefficient of the middle term in the binomial expansion in powers of x of ${(1+\alpha x)}^4$ and of ${(1-\alpha x)}^4$is the same if α =

PQ is a double ordinate of the parabola $y^2=4ax$ . The locus of the points of trisection of PQ is

If a function f(x) is defined in x $ϵ$ [a, b], then f(x) is continuous at a if

Tangents are drawn from the point $P(2,2)$ to the circle $x^2+y^2=1,$ touching the circle at $A$ and $B.$ Then equation of circumcircle of $△PAB$ is

The complete solution set of the inequality ${\log }_5(x^2-2)<{\log }_5(\frac{3}{2}|x|-1)$ is

If I is the greatest of the definite integrals

$I_1={\int }_0^1{e}^{-x}co{s}^{2}xdx,I_2={\int }_0^1{e}^{-x^2}co{s}^{2}xdx$

$I_3={\int }_0^1{e}^{-x^2}dx,I_4={\int }_0^1{e}^{\frac{-x^2}{2}}dx,then$

In the expansion of $(2a+3)(a+2{)}^2$ ; find the coefficient of $a^2$ and $a$

Evaluate the following limit:
$\underset{x\to 0}{\text{lim}}\frac{\text{sin ax}}{bx}$

The value of $6+{\log }_{\frac{3}{2}}\left(\frac{1}{3\sqrt{2}}\sqrt{4-\frac{1}{3\sqrt{2}}\sqrt{4-\frac{1}{3\sqrt{2}}\sqrt{4-\frac{1}{3\sqrt{2}}\dots \dots }}}\right)$ is

Find the real numbers x and y if $(x-iy)(3+5i)$ is the conjugate of -6 -24i

If $x^2-11x+a$ and $x^2-14x+2a$ have common factor, then value(s) of $a$ is/are

If $C_r$ means ${}^n{C}_r$ then $\frac{C_0}{1}+\frac{C_2}{3}+\frac{C_4}{5}+\cdots =$

Write the first five terms of the sequences whose $n^{th}$ term is:

$a_n=\frac{n}{n+1}$

Angle between the tangents to curves y = sinx and y = cosx at x = $\frac{\pi }{4}$ is



x = $\frac{\pi }{4}$ पर वक्रों y = sinx तथा y = cosx की स्पर्श रेखाओं के मध्य कोण है

If $1+{\log }_5(x^2+1)\ge {\log }_5({ax}^2+4x+a)$ for all $x\in R,$ then $a$ can be equal to

If $\text{cosec}\theta =\frac{25}{7},$ then which of the following can be correct?

If the ratio of the 5th term from the beginning to the 5th term from the end in the expansion of ${(4\sqrt{2}+\frac{1}{4\sqrt{3}})}^n$
is $\sqrt{6}:1$ then find the value of n.