Recent questions and answers in 2000

If two towers of height $h_1$ and $h_2$ subtend angles $60^{\circ} $ and $30^{\circ}$ respectively at the mid point of the line joining their feet, then $h_1:h_2$ is equal to:

answered Feb 22, 2021 by snehabijusmitha

1 answer

Which of the following converts acetone to acetone oxime ?

answered Jul 26, 2020 by akashhkumar5

1 answer

The line $4x +6y+9=0$, touches the parabola $y^2 =4x$ at the point :

answered Jul 6, 2020 by vibhaas93

1 answer

In a compound microscope cross wires are fixed at the point :

answered Jun 10, 2020 by kelvinayagan

1 answer

Which of the following reactions does not involve change in the oxidation state of the metal ?

answered May 18, 2020 by fasakdioboy

1 answer

Ethylene reacted with bromine in $CCl_4$ to form $X$. $X$ is treated with alcoholic $KOH$ to give $Y$. $X$ and $Y$ are respectively :

answered May 11, 2020 by srinadh.dacharla2003

1 answer

If $c$ is a parameter, then the differential equation whose solution is $y = c^2 + \frac{c}{x'}$ is :

answered May 11, 2020 by fasakdioboy

2 answers

A charged particle of mass $3 \times 10^{-6} kg$ is held stationary in space in an electric field of strength $10^6 NC^{-1}$ directed vertically downwards. The charge on the particle is : <br> $(g = 10\; ms^{-2})$

answered May 4, 2020 by gracemahlah7

1 answer

The pH of an aqueous solution of a salt is 10. The salt is :

answered May 3, 2020 by hymamohanch

1 answer

Which of the following is correct for acid buffer ? [ salt = S, acid = A ] :

answered Mar 28, 2020 by annapureddy.srilekhareddy1435

1 answer

If $(1,2)$ is a limiting point of a co-axial system of circles containing the circle $x^2 + y^2 + x - 5y + 9 =0$, then the equation of radical axis is :

answered Aug 29, 2019 by bijan.shrestha7170

1 answer

Which of the following reacts with ammonical cuprous chloride ?

answered May 5, 2019 by koradapydinaidu98

1 answer

The half-life of a radioactive element is 100 years. What is its disintegration contant (in years$^{-1}$) ?

answered Feb 9, 2019 by mahaseth2016

1 answer

Two metal rods A and B of equal lengths and equal cross-sectional areas are joined end to end. The coefficients of thermal conductivities of A and B are in the ratio 2:3, when the free end of A is maintained at $100^{\circ}C$ and the free end of B is maintained at $0^{\circ}C$, the temperature of the junction is :

answered Dec 31, 2018 by statuswithadesh2001

1 answer

During an adiabatic process, if the pressure of an ideal gas is proportional to the cube of its temperature the ratio $\gamma = \frac{c_p}{c_v}$ is : <br> (Specific heat at constant volume = $c_v$ <br> specific heat at constant pressure = $c_p$ )

asked Dec 19, 2018 by pady_1

0 answers

The area of the triangle formed by the axes and the line $(\cos \alpha - \sin \alpha ) x + (\cos \alpha + \sin \alpha) y =2$, in square units, is :

asked Dec 19, 2018 by pady_1

0 answers

The co-ordinate of the image of the origin $O$ with respect to the straight line $x+y+1=0$ is:

asked Dec 19, 2018 by pady_1

0 answers

If the points $(1,2)$ and $(3,4)$ were to be on the same side of the line $3x -5y +a =0$, then:

asked Dec 19, 2018 by pady_1

0 answers

If the point $[x_1 + t(x_2 - x_1), y_1 + t(y_2-y_1)]$ divides the join of the $(x_1,y_1)$ and $(x_2,y_2)$ internally, then :

asked Dec 19, 2018 by pady_1

0 answers

The vertices of a triangle are $(6,6), (0,6)$ and $(6,0)$ the distance between its circumcentre and centroid is :

asked Dec 19, 2018 by pady_1

0 answers

A straight rod of length 9 units slides with its ends. A and B always on the $x$ and $y$ axis respectively, then the locus of the centroid of $\Delta OAB$ is :

asked Dec 19, 2018 by pady_1

0 answers

In a $\Delta ABC, \; r_1 + r_2 - r_3 - r $ is equal to :

asked Dec 19, 2018 by pady_1

0 answers

In a $\Delta ABC, \; \cos A+ \cos B + \cos C$ is equal to :

asked Dec 19, 2018 by pady_1

0 answers

If in a $\Delta ABC$, $a,b,c$ are in AP then $\tan \frac{A}{2} \tan \frac{C}{2}$ is equal to :

asked Dec 19, 2018 by pady_1

0 answers

If $\cos x = \log_e (2 +\sqrt{3})$, then $x$ is equal to :

asked Dec 19, 2018 by pady_1

0 answers

$\cos 2 + \sin 2 $ is equal to :

asked Dec 19, 2018 by pady_1

0 answers

If $\tan^{-1} 3 + \tan^{-1} n = \tan^{-1} 8$, then $n$ is equal to :

asked Dec 19, 2018 by pady_1

0 answers

If $\tan \theta + \sec \theta = \sqrt{3}$, then the principal value of $\theta + \frac{\pi}{6}$ is equal to :

asked Dec 19, 2018 by pady_1

0 answers

If $\tan \theta_1 = k \cot \theta_2$, then $\frac{\cos (\theta_1 - \theta_2)}{\cos (\theta_1 + \theta_2)}$ is equal to :

asked Dec 19, 2018 by pady_1

0 answers

If $\sin \alpha + \sin \beta = a, \; \cos \alpha + \cos \beta = b$, then $\sin (\alpha + \beta) \cos^2 (\frac{\alpha - \beta}{2})$ is equal to :

asked Dec 19, 2018 by pady_1

0 answers

$\cos 6^{\circ} \sin 24^{\circ} \cos 72^{\circ}$ is equal to :

asked Dec 19, 2018 by pady_1

0 answers

$\frac{\sin (-660^{\circ}) \tan (1050^{\circ}) \sec(-420^{\circ} )}{\cos(225^{\circ}) \mathrm{cosec} (315^{\circ}) \cos (510^{\circ})}$ is equal to:

asked Dec 19, 2018 by pady_1

0 answers

If $(\sin \alpha + \mathrm{cosec} \;\alpha)^2$ + $(\cos \alpha + \sec \alpha)^2$ = $k + \tan^2 \alpha + \cot^2 \alpha$, then $k$ is equal to :

asked Dec 19, 2018 by pady_1

0 answers

If $\frac{\cos A}{\cos B} = n , \; \frac{\sin A}{\sin B} = m$, then $(m^2 - n^2) \sin^2B$ is equal to :

asked Dec 19, 2018 by pady_1

0 answers

$\begin{bmatrix} \frac{\sqrt{3} + 2 \cos A}{1- 2 \sin A} \end{bmatrix}^3 + \begin{bmatrix} \frac{1 + 2 \sin A}{\sqrt{3} - 2 \cos A} \end{bmatrix}^3$ is equal to :

asked Dec 19, 2018 by pady_1

0 answers

The length of normal to the curve $y = \frac{1}{2} a(e^{x/a} + e^{-x/a})$ is :

asked Dec 19, 2018 by pady_1

0 answers

In the expression of $\begin{pmatrix} x^4 - \frac{1}{x^3} \end{pmatrix}^{15}$ coefficient of $x^{32}$ is equal to :

asked Dec 19, 2018 by pady_1

0 answers

If $a \neq b, \; b, \; c$ satisfy $\begin{vmatrix} a & 2b & 2c \\ 3 & b & c \\ 4 & a & b \end{vmatrix} = 0$ then $b^2$ is equal to :

asked Dec 19, 2018 by pady_1

0 answers

If $d$ is the determinant of a square matrix $A$ of order $m$, then the determinant of its adjoint, is :

asked Dec 19, 2018 by pady_1

0 answers

If $A=\begin{bmatrix} 1&3\\2&1 \end{bmatrix}$, then the determinant of $A^2-2A$ is :

asked Dec 19, 2018 by pady_1

0 answers

If $A$ and $B$ are two square matrices such that $B= -A^{-1}BA$, then $(A+B)^2$ is equal to :

asked Dec 19, 2018 by pady_1

0 answers

$\begin{align}\frac{\frac{1}{2}. \frac{2}{2}}{1^3} + \frac{\frac{2}{2}. \frac{3}{2}}{1^3+2^3} + \frac{\frac{3}{2}.\frac{4}{2}}{1^3+2^3+3^3}+...+n \end{align}$ terms :

asked Dec 19, 2018 by pady_1

0 answers

Summation $\displaystyle\sum_{k=1}^{n} \;k \begin{bmatrix}1 +\frac{1}{n} \end{bmatrix}^{k-1}$ is equal to :

asked Dec 19, 2018 by pady_1

0 answers

The set $\{x \in R : x -2 + x^2 =0 \}$ is equal to :

asked Dec 19, 2018 by pady_1

0 answers

If $\alpha , \beta$ are the roots of the equation $9x^2+6x+1=0$, then the equation with the roots are $\frac{1}{\alpha}$, $\frac{1}{\beta}$, is real to :

asked Dec 19, 2018 by pady_1

0 answers

The equation formed by decreasing each root of $ax^2+bx + c = 0$ by $1$ is $2x^2 + bx+ 2=0$, then :

asked Dec 19, 2018 by pady_1

0 answers

If $3+i$ is a root of $x^2+ax+b=0$, then $a$ is equal to :

asked Dec 19, 2018 by pady_1

0 answers

In the argand plane the area in square units of the triangle formed by the points $1+i, \; 1-i, \; 2i$ is :

asked Dec 19, 2018 by pady_1

0 answers

If $1, \omega, \omega^2$ are the roots of unity, then $(a+b)^3 + (a \omega + b \omega^2)^3 + (a \omega^2 +b \omega)^3$ is equal to :

asked Dec 19, 2018 by pady_1

0 answers

If $\theta$ is real, the modulus of $\frac{1}{(1+\cos \theta) + i \sin \theta}$ is :

asked Dec 19, 2018 by pady_1

0 answers

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