AP EAMCET · Maths · Properties of Triangles
\(\text { In } \triangle \mathrm{ABC}, \frac{r_2\left(r_1+r_3\right)}{\sqrt{r_1 r_2+r_2 r_3+r_3 r_1}}=\)
- A \(a\)
- B \(b\)
- C \(c\)
- D \(s\)
Answer & Solution
Correct Answer
(B) \(b\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \frac{r_2\left(r_1+r_3\right)}{\sqrt{r_1 r_2+r_2 r_3+r_3 r_1}} \\ & =\frac{\frac{\Delta}{s-b}\left(\frac{\Delta}{s-a}+\frac{\Delta}{s-c}\right)}{\sqrt{\frac{\Delta^2}{(s-a)(s-b)}+\frac{\Delta^2}{(s-b)(s-c)}+\frac{\Delta^2}{(s-c)(s-a)}}} \\ &…
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
- The straight line passing through \((0,0)\) and the foot of perpendicular from \((2,4)\) onto \(\dot{x}+y-1=0\)AP EAMCET 2022 Easy
- There are 3 bags \(A, B\) and \(C\). Bag \(A\) contains 2 white and 3 black balls, bag \(B\) contains 4 white and 2 black balls and Bag \(C\) contains 3 white and 2 black balls. If a ball is drawn at random from a randomly chosen bag, then the probability that the ball drawn is black, isAP EAMCET 2019 Easy
- If \(\tan A=\tan \alpha \operatorname{coth} x=\cot \beta \tanh x\), then \(\tan (\alpha+\beta)=\)AP EAMCET 2023 Hard
- \(\lim _{x \rightarrow \pi / 6}\left[\frac{3 \sin x-\sqrt{3} \cos x}{6 x-\pi}\right]\) is equal to :AP EAMCET 2003 Medium
- If \(\sin (\alpha+\beta)=5 \sin (\alpha-\beta)\), then \(\frac{\sin 2 \beta}{5-\cos 2 \beta}=\)AP EAMCET 2023 Medium
- The least value of the natural number \(n\) satisfying \(C(n, 5)+C(n, 6)>C(n+1,5)\) isAP EAMCET 2002 Easy
More PYQs from AP EAMCET
- A circular disc of mass 20 kg and radius 1 m is rotating about an axis passing through its center and perpendicular to its plane with an angular velocity of \(2 \mathrm{rad} \mathrm{s}^{-1}\). Then the rotational kinetic energy of the disc isAP EAMCET 2025 Easy
- In lanthanides, with increase in atomic number atomic radius decreases, except for the element \(\underline{X}\). What is \(\underline{X}\) ?AP EAMCET 2018 Easy
- Three unequal resistors in parallel are equivalent to a resistance \(1 \mathrm{ohm}\). If two of them are in the ratio \(1: 2\) and if no resistance value is fractional, then the largest of the three resistances in ohms isAP EAMCET 2003 Easy
- If the equation of the circle lying in the first quadrant, touching both the coordinate axes and the line \(\frac{x}{3}+\frac{y}{4}=1\) is \((x-c)^2+(y-c)^2=c^2\), then \(c=\)AP EAMCET 2025 Medium
- A mass \(m\) is in rest on an inclined plane of mass \(M\) which is further resting on a smooth horizontal plane. Now, if the mass \(m\) starts moving under gravity, the position of centre of mass of system willAP EAMCET 2020 Medium
- If \(x=\frac{1}{5}+\frac{1.3}{5.10}+\frac{1.3 .5}{5.10 .5}+\ldots \infty\), then \(3 x^2+6 x\) is equal toAP EAMCET 2015 Hard