Recent questions tagged true-or-false

True-or-False :If $\tan(\pi \cos \theta)=\cot (\pi \sin \theta)$,then $\cos(\theta-\large\frac{\pi}{4})$$=\pm \large\frac{1}{2\sqrt 2}$

asked May 20, 2014 by sreemathi.v

1 answer

True-or-False :If $\tan \theta+\tan 2\theta+\sqrt 3\tan \theta\tan 2\theta=\sqrt 3$ then $\theta=\large\frac{n\pi}{3}+\frac{\pi}{9}$

asked May 20, 2014 by sreemathi.v

1 answer

True-or-False :If $cosec x=1+\cot x$ then $x=2n\pi,2n\pi+\large\frac{\pi}{2}$

asked May 20, 2014 by sreemathi.v

1 answer

True-or-False :One value of $\theta$ which satisfies the equation $\sin ^4\theta-2\sin ^2\theta-1$ lies between 0 and $2\pi$

asked May 20, 2014 by sreemathi.v

1 answer

True-or-False :$\cos \large\frac{2\pi}{15}$$\cos \large\frac{4\pi}{15}$$\cos \large\frac{8\pi}{15}$$\cos \large\frac{16\pi}{15}=\frac{1}{16}$

asked May 20, 2014 by sreemathi.v

0 answers

True-or-False :$\sin 10^{\large\circ}$ is greater than $\cos 10^{\large\circ}$

asked May 20, 2014 by sreemathi.v

1 answer

True-or-False :The equality $\sin A+\sin 2A+\sin 3A=3$ holds for some real value of A

asked May 20, 2014 by sreemathi.v

1 answer

True-or-False :If $\tan A=\large\frac{1-\cos B}{\sin B}$ then $\tan 2A=\tan B$

asked May 20, 2014 by sreemathi.v

1 answer

True-or-False:To fill 12 vacancies there are 25 candidates of which 5 are from scheduled castes.If 3 of the vacancies are reserved for scheduled caste candidates while the rest are open to all,the number of ways in which the selection can be made is $5C_3\times 20C_9$

asked May 19, 2014 by sreemathi.v

1 answer

True-or-False:A candidate is required to answer 7 questions out of 12 questions which are divided into two groups,each containing 6 questions. He is not permitted to attempt more than 5 questions from either group. He can choose the seven questions in 650 ways.

asked May 16, 2014 by sreemathi.v

1 answer

True-or-False:Eighteen guests are to be seated,half on each side of a long table.Four particular guests desire to sit on one particular side and three others on other side of the table.The number of ways in which the seating arrangements can be made is $\large\frac{11!}{5!6!}$$(9!)(9!)$

asked May 16, 2014 by sreemathi.v

1 answer

True-or-False:There will be only at 24 selections containing atleast one red ball out of a bag containing 4 red and 5 black balls.It is being given that balls of the same colour are identical.

asked May 16, 2014 by sreemathi.v

1 answer

True-or-False:If some or all of n objects are taken at a time,the number of combinations is $2^n-1$

asked May 16, 2014 by sreemathi.v

1 answer

True-or-False:In a steamer there are stalls for 12 animals and there are horses,cows and calves (not less than 12 each) ready to be shipped.They can be loaded in $3^{12}$ ways

asked May 16, 2014 by sreemathi.v

1 answer

True-or-False:In the permutations of n things,r taken together,the number of permutation in which m particular things occur together is $(n-m)P_{r-m}\times rP_m$

asked May 16, 2014 by sreemathi.v

1 answer

True-or-False:Three letters can be posted in five letter boxes in $3^5$ ways

asked May 16, 2014 by sreemathi.v

1 answer

True-or-False:There are $12$ points in a plane of which $5$ points are collinear,then the number of lines obtained by joining these points in pair is $12C_2-5C_2$

asked May 16, 2014 by sreemathi.v

1 answer

True or False. If two corner points of the feasible region are both optimal solutions of the same type, i.e., both produce the same maximum or minimum, then any point on the line segment joining these two points is also an optimal solution of the same type.

asked Apr 16, 2013 by balaji.thirumalai

1 answer

True or False: If a function $f: X \rightarrow Y$ is invertible, it has a unique inverse.

asked Mar 19, 2013 by balaji.thirumalai

1 answer

True-or-False: The differential equation of all non horizontal lines in a plane is $\large\frac{d^2y}{dy^2}$$=0$.

asked Jan 21, 2013 by sreemathi.v

1 answer

True-or-False: Solution of $x\frac{dy}{dx} - y = x\tan\frac{y}{x}$ is $\sin\bigg(\frac{y}{x}\bigg)=kx$.

asked Jan 21, 2013 by sreemathi.v

1 answer

True-or-False: The solution of the differential equation $\large\frac{dy}{dx} = \frac{x+2y}{x}$ is $x+y=kx^2$.

asked Jan 21, 2013 by sreemathi.v

1 answer

True-or-False: Differential equation representing the family of curves $y=e^x(A\cos x+B\sin x)$ is $\frac{d^2y}{dx^2} - 2\frac{dy}{dx} + 2y = 0$.

asked Jan 21, 2013 by sreemathi.v

1 answer

True-or-False: The solution of $\large\frac{dy}{dx}$$=\bigg(\large\frac{y}{x}\bigg)^\frac{1}{3}$ is $y^{\large\frac{2}{3}}-x^{\large\frac{2}{3}}=c$.

asked Jan 20, 2013 by sreemathi.v

1 answer

True-or-False: The differential equation representing the family of circles $x^2+(y-a)^2=a^2$ will be of order two.

asked Jan 20, 2013 by sreemathi.v

1 answer

True-or-False: Number of arbitrary constant in the particular solution of a differential equation of order two is two.

asked Jan 20, 2013 by sreemathi.v

1 answer

True-or-False: Correct substitution for the solution of the differential equation of the type $\large\frac{dx}{dy}$$=g(x,y)$,where $g(x,y)$ is a homogeneous function of zero degree is $x=vy.$

asked Jan 20, 2013 by sreemathi.v

1 answer

True-or-False: Correct substitution for the solution of the differential equation of the type $\large\frac{dy}{dx}$$=f(x,y)$,where f(x,y) is a homogeneous function of zero degree is $y=vx.$

asked Jan 20, 2013 by sreemathi.v

1 answer

True-or-False: Solution of the differential equation of the type $\large\frac{dx}{dy}$$+P_1x=Q_1$ is given by $x.(I.F)=\int (I.F)Q_1dy.$

asked Jan 20, 2013 by sreemathi.v

1 answer