Register

ISI2015-DCG-40

• retagged by
1,708 views
0 0 votes

The equations $x=a \cos \theta + b \sin \theta$ and $y=a \sin \theta + b \cos \theta$, $( 0 \leq \theta \leq 2 \pi$ and $a,b$ are arbitrary constants) represent

  1. a circle
  2. a parabola
  3. an ellipse
  4. a hyperbola

Please log in or register to answer this question.

Voting & Accepting an answer helps improve the community
← Previous · ISI2015-DCG-41Next → · ISI2015-DCG-39
← Previous in category · ISI2015-DCG-53Next in category → · ISI2015-DCG-39
Position:
Show:

Related questions

0 0 votes
1 1 answer
1.1k
1.1k views
gatecse asked Sep 18, 2019
1,061 views
ISI2015-DCG-59
If in a $\Delta ABC$, $\angle B = \frac{2 \pi}{3}$, then $\cos A + \cos C$ lies in$[\:- \sqrt{3}, \sqrt{3}\:]$$(\: – \sqrt{3}, \sqrt{3}\:]$$(\:\frac{3}{2}, \sqrt{3}\:)$$(...
0 0 votes
2 2 answers
1.2k
1.2k views
gatecse asked Sep 18, 2019
1,212 views
ISI2015-DCG-4
If $\tan x=p+1$ and $\tan y=p-1$, then the value of $2 \cot (x-y)$ is$2p$$p^2$$(p+1)(p-1)$$\frac{2p}{p^2-1}$
1 1 vote
1 1 answer
515
515 views
gatecse asked Sep 18, 2019
515 views
ISI2015-DCG-61
The value of $\sin^6 \frac{\pi}{81} + \cos^6 \frac{\pi}{81}-1+3 \sin ^2 \frac{\pi}{81} \cos^2 \frac{\pi}{81}$ is$\tan ^6 \frac{\pi}{81}$$0$$-1$None of these
0 0 votes
0 0 answers
427
427 views
gatecse asked Sep 18, 2019
427 views
ISI2015-DCG-62
The number of values of $x$ for which the equation $\cos x = \sqrt{\sin x} – \dfrac{1}{\sqrt{\sin x}}$ is satisfied, is$1$$2$$3$more than $3$