Recent questions in 2007

If a line makes an angle of $\frac{\pi}{4}$ with the positive directions of each of $x-axis$ and $y-axis$, then the angle that the line makes with the positive direction of the $z-axis$ is :

asked Nov 29, 2018 by pady_1

0 answers

For the Hyperbola $\frac{x^2}{\cos^2 \alpha} - \frac{y^2}{\sin^2 \alpha} = 1$, which of the following remains constant when $\alpha$ varies?

asked Nov 29, 2018 by pady_1

0 answers

If $D = \begin{vmatrix} 1 & 1 & 1 \\ 1 & 1+x & 1 \\ 1 & 1 & 1+y \end{vmatrix}$ for $x \neq 0, y \neq 0$, then $D$ is :

asked Nov 29, 2018 by pady_1

0 answers

Two aeroplanes I and II bomb a target in succession. The probabilities of I and II scoring a hit correctly are 0.3 and 0.2, respectively. The second plane will bomb only if the first misses the target. The probability that the target is hit by the second plane is :

asked Nov 29, 2018 by pady_1

1 answer

The resultant of two forces $P \;N$ and $3\; N$ is a force of $7\; N$. If the direction of the $3\; N$ force were reversed, the resultant would be $\sqrt{19} N$. The value of $P$ is :

asked Nov 29, 2018 by pady_1

0 answers

If $ | z+4| \leq 3$, then the maximum value of $|z+1|$ is :

asked Nov 29, 2018 by pady_1

0 answers

The normal to a curve at $P(x,y)$ meets the $x-axis$ at $G$. If the distance of $G$ from the origin is twice the abscissa of $P$, then the curve is a :

asked Nov 29, 2018 by pady_1

0 answers

The sum of the series <br> $^{20}C_0 - ^{20}C_1 + ^{20}C_2 - ^{20}C_3 + . . . .- . . . . + ^{20}C_{10}$ is :

asked Nov 29, 2018 by pady_1

0 answers

A tower stands at the centre of a circular park. A and B are two points on the boundary of the park such that AB (=a) subtends an angle of $60^{\circ}$ at the foot of the tower and the angle of elevation of the top of the tower from A or B is $30^{\circ}$. The height of the tower is :

asked Nov 29, 2018 by pady_1

0 answers

If $p$ and $q$ are positive real numbers such that $p^2 + q^2 = 1$, then the maximum value of $(p + q)$ is :

asked Nov 29, 2018 by pady_1

0 answers

The differential equation of all circles passing through the origin and having their centres on the $x-axis$ is :

asked Nov 29, 2018 by pady_1

0 answers

Let $L$ be the line of intersection of the planes $2x + 3y + z = 1$ and $x + 3y + 2z = 2$. If $L$ makes an angle $\alpha$ with the positive $x-axis$, then $\cos \alpha $ equals :

asked Nov 29, 2018 by pady_1

0 answers

Consider a family of circles which are passing through the point $(-1, 1)$ and are tangent to $x-axis$. If $(h, k)$ are the coordinates of the centre of the circles, then the set of values of $k$ is given by the interval :

asked Nov 29, 2018 by pady_1

1 answer

A pair of fair dice is thrown independently three times. The probabiliy of getting a score of exactly 9 twice is :

asked Nov 29, 2018 by pady_1

0 answers

A body weighing 13 kg is suspended by two strings 5 m and 12 m long, their outer ends being fastened to the extremities of a rod 13 m long. If the rod be so held that the body hangs immediately below the middle point. The tensions in the strings are :

asked Nov 29, 2018 by pady_1

0 answers

The largest interval lying in $(-\frac{\pi}{2}, \frac{ \pi}{2})$ for which the function $[f(x) = 4 x^{-x^2} + \cos^{-1} (\frac{x}{2} - 1) + \log (\cos x) ]$ is defined, is :

asked Nov 29, 2018 by pady_1

0 answers

The set $S : \{1, 2, 3, . . . . ,12\}$ is to be partitioned into three sets $A, B, C$ of equal size. Thus, $A \cup B \cup C = S, A \cap B = B \cap C = A \cap C = \phi$. The number of ways to partition $S$ is :

asked Nov 29, 2018 by pady_1

0 answers

In the binomial expansion of $(a-b)^n, n \geq 5$, the sum of $5^{th}$ and $6^{th}$ terms is zero, then $\frac{a}{b}$ equals :

asked Nov 29, 2018 by pady_1

0 answers

In $\sin^{-1} (\frac{x}{5}) + \mathrm{cosec}^{-1}(\frac{5}{4}) = \frac{\pi}{2}$, then $a$ value of $x$ is :

asked Nov 29, 2018 by pady_1

0 answers

In a geometric progression consisting of positive terms, each term equals the sum of the next two terms. Then the common ratio of this progression equals :

asked Nov 29, 2018 by pady_1

0 answers

Ask Questions, Get Answers