AP EAMCET · Maths · Properties of Triangles
In \(\triangle \mathrm{ABC},\left(r_2+r_3\right) \operatorname{cosec}^2 \frac{A}{2}=\)
- A 4 R
- B \(4 R \cot ^2 \frac{A}{2}\)
- C \(4 R \tan ^2 \frac{A}{2}\)
- D \(R \tan ^2 \frac{A}{2}\)
Answer & Solution
Correct Answer
(B) \(4 R \cot ^2 \frac{A}{2}\)
Step-by-step Solution
Detailed explanation
\(\left(r_2+r_3\right) \operatorname{cosec}^2 \frac{A}{2}=\left(\frac{\Delta}{s-b}+\frac{\Delta}{s-c}\right) \times \frac{1}{\sin ^2 \frac{A}{2}}\)…
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 the slope of the line through \((0,0)\) which is tangent to the curve \(y=x^2+x+16\) is \(m\) then the value of \(m-4\) isAP EAMCET 2022 Easy
- \({ }^{29} C_5+\sum_{r=0}^4{ }^{(33-r)} C_4=\)AP EAMCET 2017 Easy
- The number of circles that touch all the three lines \(x+y-1=0, x-y-1=0\) and \(y+1=0\) isAP EAMCET 2004 Medium
- The angle between the tangents drawn from the point to the parabola isAP EAMCET 2020 Medium
- If \(\mathrm{P}(\alpha, \beta)\) is the radical centre of the circles \(\mathrm{S} \equiv \mathrm{x}^2+\mathrm{y}^2+4 \mathrm{x}+7=0\), \(S^{\prime} \equiv 2 x^2+2 y^2+3 x+5 y+9=0\) and \(S^{\prime \prime} \equiv x^2+y^2+y=0\), then the length of the tangent drawn from \(P\) to \(S^{\prime}=0\) isAP EAMCET 2025 Medium
- The point to which the origin should be shifted in order to eliminate the and terms from the equation isAP EAMCET 2021 Medium
More PYQs from AP EAMCET
- A matrix whose elements \(a_{i j}\) are defined by
\(a_{i j}=\frac{1}{3}|i-5 j|, i, j=1,2,3 \text { is }\)AP EAMCET 2023 Easy - Energy needed in breaking a liquid drop of radius \(R\), into \(n\) smaller drops each of radius \(r\), is [T- Surface tension of the liquid]AP EAMCET 2022 Medium
- What is the hybridization state of the central atom in the conjugate base of \(\mathrm{NH}_4^{+}\)ion?AP EAMCET 2002 Easy
- In a closed organ pipe, the number of nodes formed in fifth and ninth harmonics are respectivelyAP EAMCET 2025 Easy
- \(A=\left[\begin{array}{lll}0 & 1 & 2 \\ 2 & 3 & 0 \\ 4 & 0 & 3\end{array}\right]\) and \(B\) is a matrix such that \(A B=B A\). If
\(A B\) is not an identity matrix, then the matrix that can be taken as B isAP EAMCET 2024 Easy - Which of the following do not reduce Tollens' reagent?
a) Fructose
b) Sucrose
c) Lactose
d) CelluloseAP EAMCET 2025 Medium