If $A+B+C=\pi$ and $\cos A=\cos B \cos C$ then the value of $\cot B \cot C =$

Important Questions on Relations Between the Sides and Angles of a Triangle

EASY

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 10 - Relations Between the Sides and Angles of a Triangle>Exercise 1>Q 66

If $a =5, b=13, c=12$ in a $\Delta ABC$ then $\tan \frac{B}{4}$ is

EASY

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 10 - Relations Between the Sides and Angles of a Triangle>Exercise 1>Q 67

If $A$ and $B$ are acute angles such that $sinA=si{n}^{2}B$ and $2co{s}^{2}A=3co{s}^{2}B$  then $A$ is 

EASY

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 10 - Relations Between the Sides and Angles of a Triangle>Exercise 1>Q 68

In a triangle $ABC$ ,if $\sin A=2\sin C\cos B$then

EASY

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 10 - Relations Between the Sides and Angles of a Triangle>Exercise 1>Q 69

$\Delta ABC$is right angled at $C$, then$\tan A+ \tan B$=

EASY

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 10 - Relations Between the Sides and Angles of a Triangle>Exercise 1>Q 70

If$0<x<\frac{\pi }{2}$ then the largest angle of a triangle whose sides are $1, \sin x, \cos x$ is 

EASY

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 10 - Relations Between the Sides and Angles of a Triangle>Exercise 1>Q 71

In a triangle $ABC$,$\left|\begin{array}{ccc}1& a& b\\ 1& c& a\\ 1& b& c\end{array}\right|=0$ then $si{n}^{2}A+si{n}^{2}B+ si{n}^{2}c=$

EASY

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 10 - Relations Between the Sides and Angles of a Triangle>Exercise 1>Q 72

In a $\Delta ABC$ if $b=2, B={30}^o$then the area of the circumcircle of $\Delta ABC$is (in square units):

EASY

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 10 - Relations Between the Sides and Angles of a Triangle>Exercise 1>Q 73

In a $\Delta ABC$ ,the sides are $a=3, b=5, c=4$ then $\sin \frac{B}{2}+\cos \frac{B}{2}$ is equal to