TS EAMCET · Maths · Properties of Triangles
In a triangle , if , then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(B)
Step-by-step Solution
Detailed explanation
L.H.S. =b+c2sin2A2+b-c2cos2A2 =b2+c2+2bcsin2A2+b2+c2+2bccos2A2 =b2+c2sin2A2+cos2A2-2bccos2A2-sin2A2 =b2+c2-2bccosA =a2 ∵cosA=b2+c2-a22bc =4R2sin2A ∵asinA=bsinB=csinC=2R =2R21-cos2A So, K=2R2.
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 tangents are drawn to the circle \(x^2+y^2=12\) at the points of intersection with the circle \(x^2+y^2-5 x+3 y-2=0\), then the ordinate of the point of intersection of these tangents isTS EAMCET 2018 Easy
- Suppose the axes \(X\) and \(Y\) are obtained by rotating the axes \(x\) and \(y\) an angle \(\theta\). If the equation \(x^2+2 \sqrt{3} x y-y^2=4 a^2\) is transformed to \(X^2-Y^2=2 a^2\) with respect to the \(X Y\)-axes, then \(\theta\) is equal toTS EAMCET 2020 Hard
- \(\bar{i}+\bar{j}+\bar{k}, a_1 \bar{i}+b_1 \bar{j}+c_1 \bar{k}, a_2 \bar{i}+b_2 \bar{j}+c_2 \bar{k}, a_3 \bar{i}+b_3 \bar{j}+c_3 \bar{k}\) are the position vectors of the points \(\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}\) respectively. \(\frac{2}{3}(\bar{i}+\bar{j}+\bar{k})\) is the position vector of the centroid of the triangular face BCD of the tetrahedron ABCD. If \(\alpha \bar{i}+\beta \bar{j}+\gamma \bar{k}\) is the position vector of the centroid of the tetrahedron, then \(2 \alpha+\beta+\gamma=\)TS EAMCET 2025 Medium
- If \(\int x^3(\log x)^2 d x=x^4\left[A(\log x)^2+B(\log x)\right.\) \(+C \log e]+K\), then \(A+B+C\)TS EAMCET 2020 Medium
- The equations of the tangents to the circle \(x^2+y^2=4\) drawn from the point \((4,0)\) areTS EAMCET 2023 Easy
- If \(3 \sin \theta+4 \cos \theta=3\) and \(\theta \neq(2 n+1) \frac{\pi}{2}\) then \(\sin 2 \theta=\)TS EAMCET 2025 Medium
More PYQs from TS EAMCET
- If \(x-2 y+k=0\) is a tangent to the parabola \(\mathrm{y}^2-4 \mathrm{x}-4 \mathrm{y}+8=0\), then the value of \(\mathrm{K}\) isTS EAMCET 2023 Easy
- What are X and Y in the following reaction sequence? \(\mathrm{C}_2 \mathrm{H}_5 \mathrm{OH} \stackrel{\mathrm{Cl}_2}{\longrightarrow} \underline{X} \stackrel{\mathrm{Cl}_2}{\longrightarrow} \underline{Y}\)TS EAMCET 2009 Medium
- Consider a gas with molar mass If the sound at frequency is introduced to a tube of this gas at temperature then an internal acoustic standing wave is set up with nodes separated by The adiabatic constant isTS EAMCET 2021 Easy
- Temperature of cold junction in a thermocouple is \(10^{\circ} \mathrm{C}\) and neutral temperature is \(270^{\circ} \mathrm{C}\), then the temperature of inversion isTS EAMCET 2007 Easy
- Identify the correct statement about the crystal defects in solids,TS EAMCET 2024 Medium
- If the radiation emitted by a perfect radiator has maximum intensity at a wavelength of \(2900 Å\), the intensity of radiation emitted by it is (Stefan-Boltzmann's constant \(=5.67 \times 10^{-8} \mathrm{Wm}^{-2} \mathrm{~K}^{-4}\) and Wein's constant \(=2.9 \times 10^{-3} \mathrm{mK}\) )TS EAMCET 2025 Medium