If \[ 2\sin\alpha + 15\cos^{2}\alpha = 7, \quad 0^\circ < \alpha < 90^\circ, \] find \(\cot\alpha\).
In the given figure, $ABCD$ is a rectangle. $P$ and $Q$ are the midpoints of sides $CD$ and $BC$ respectively. Then the ratio of area of shaded portion to the area of unshaded portion is:
In the adjoining figure, points $A,B,C,D$ lie on a circle. $AD=24$ and $BC=12$. What is the ratio of the area of $\triangle CBE$ to that of $\triangle ADE$?
In $\triangle ABC$, $D$ is a point on $BC$ such that $3BD=BC$. If each side of the triangle is $12\,$cm, then $AD$ equals
On dividing $x^{3} - 3x^{2} + x + 2$ by a polynomial $g(x)$, the quotient and remainder were $x - 2$ and $-2x + 4$ respectively. Find $g(x)$.
World Earth Day which is annually observed worldwide wherein various events are held to demonstrate support for environmental protection is celebrated on ______________ .
Which football superstar has been named as the World's Best Player for 2016 by FIFA?
Which mobile telecom company has launched the Asia-Africa-Europe (AAE-1) submarine cable system, the longest 100GBps technology-based submarine system?
Elephant has shown at Indian Museum on which day?
Which of the following animal is national animal of China?
Step III of an input is: take 17 mind game 29 73 18 loudHow many more steps are required to complete the sequence?
Input: by now 51 32 for 91 20 meWhich of the following steps will be the last?
Input: fight for all 39 62 25 today 19Which of the following steps will be step IV?
Input: queen mary 79 62 172 60 green westWhich of the following steps will be the last one?
Bank : River :: Coast : ?
What is the missing number in the sequence?
At the end of a business conference, the ten people present all shake hands with each other once. How many handshakes will there be altogether?
The Supreme Court has recently asked to re-introduce the VVPAT in Electronic Voting Machines (EVMs) for 100% transparency in electronics. The VVPAT in EVM would ensure free and fair polls besides sorting out disputes. What does VVPAT stand for?
What is the symbol of Jammu & Kashmir People's Democratic Party which was founded by Mufti Mohammed Sayeed?
Who has been awarded as the Indian of the year award by Brands Academy in New Delhi this year?
Which bank has announced to acquire mobile payment wallet provider FreeCharge from e-commerce company Snapdeal for Rs. 385 crore?
What is the nick-name of famous Indian Personalities 'Sayeed Bandhu'?
'Salvex' is a military exercise between which two countries?
With which company has Industrial Infrastructure Development Corporation launched a joint venture to set up an aluminium park at Angul, Odisha?
Where is Padmaja Naidu Zoological Park located?
