TS EAMCET · Maths · Properties of Triangles
If \(\triangle A B C\), if \(\cot \frac{A}{2}: \cot \frac{B}{2}: \cot \frac{C}{2}=4: 3: 2\), then \(a: b: c=\)
- A \(2: 3: 4\)
- B \(6: 5: 7\)
- C \(4: 5: 6\)
- D \(5: 6: 7\)
Answer & Solution
Correct Answer
(D) \(5: 6: 7\)
Step-by-step Solution
Detailed explanation
Given that, \[ \begin{aligned} & \cot \frac{A}{2}: \cot \frac{B}{2}: \cot \frac{C}{2}=4: 3: 2 \\ & \therefore \sqrt{\frac{s(s-a)}{(s-b)(s-c)}}: \sqrt{\frac{s(s-b)}{(s-a)(s-c)}}: \sqrt{\frac{s(s-c)}{(s-a)(s-b)}} \\ & =4: 3: 2 \\ & \end{aligned} \] \(=4: 3: 2\) On multiplying…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- If \(x=a, y=b, z=c\) is the solution of the system of simultaneous linear equations \(x+y+z=4\), \(x-y+z=2, x+2 y+2 z=1\), then \(a b+b c+c a=\)TS EAMCET 2018 Hard
- TS EAMCET 2021 Easy
- For a binomial variate \(X\) with \(n=6\), if \(P(X=2)=9 P(X=4)\), then its variance isTS EAMCET 2005 Easy
- Two circles of equal radius \(a\) cut orthogonally. If their centres are \((2,3)\) and \([5,6]\) then radical axis of these circles passes through the pointTS EAMCET 2017 Medium
- The general solution of the differential equation \(\left(x \sin \frac{y}{x}\right) d y=\left(y \sin \frac{y}{x}-x\right) d x\) isTS EAMCET 2023 Medium
- An urn contains 7 red, 5 white and 3 black balls. Three balls are drawn randomly one after the other without replacement. If it is known that first ball drawn is red and the second ball drawn is white, then the probability that the third ball drawn is not red isTS EAMCET 2025 Medium
More PYQs from TS EAMCET
- \(0.066 \mathrm{~g}\) of metal was deposited when a current of 2 ampere is passed through a metal ion solution for 100 seconds. What is the electrochemical equivalent (in gram coulomb \(^{-1}\) ) of the metal?TS EAMCET 2002 Easy
- The general solution of the differential equation \(\cos (x+y) d y=d x\) isTS EAMCET 2018 Medium
- \(\int_0^{\pi / 2} \frac{d x}{4+5 \sin x}\)TS EAMCET 2020 Hard
- The lines represented by are normals to a circle . If this circle touches the circle externally, then the equation of the chord of contact of centre of with respect to isTS EAMCET 2019 Hard
- A long straight solenoid with a cross-sectional radius and number of turns per unit length has a current varying with time as The magnitude of the electric field as a function of distance from the solenoid axis is,TS EAMCET 2021 Easy
- In the following reaction, \(A\) and \(B\) respectively are \(A \stackrel{\mathrm{HBr}}{\longrightarrow} \mathrm{C}_2 \mathrm{H}_5 \mathrm{Br} \stackrel{B}{\longrightarrow} A\)TS EAMCET 2002 Easy