AP EAMCET · Maths · Properties of Triangles
In a \(\triangle \mathrm{ABC}\) if \(a=13, b=14, c=15\) then \(r_1=\)
- A \(\frac{23}{2}\)
- B \(\frac{21}{2}\)
- C \(\frac{25}{2}\)
- D \(\frac{26}{3}\)
Answer & Solution
Correct Answer
(B) \(\frac{21}{2}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \quad a=13, b=14, c=15 \Rightarrow \mathrm{~s}=\frac{a+b+c}{2}=21 \\ & \text { Area }(\Delta)=\sqrt{\mathrm{s}(\mathrm{s}-13)(\mathrm{s}-14)(\mathrm{s}-15)}=84 \\ & r_1=\frac{\Delta}{\mathrm{s}-a}=\frac{84}{21-13}=\frac{21}{2}\end{aligned}\)
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 \(\tan A-\tan B=x\) and \(\cot A-\cot B=y\), then \(\cot (A-B)=\)AP EAMCET 2019 Easy
- The angle between circles \(x^2+y^2+2 x+4 y+1=0\) and \(x^2+y^2-2 x+6 y-3=0\) isAP EAMCET 2021 Easy
- A tower, of \(x\) metres high, has a flagstaff at its top. The tower and the flagstaff subtend equal angles at a point distant \(y\) metres from the foot of the tower. Then, the length of the flagstaff (in metres), isAP EAMCET 2005 Hard
- AP EAMCET 2022 Medium
- If \(x_n=\cos \left(\frac{\pi}{4^n}\right)+i \sin \left(\frac{\pi}{4^n}\right)\), then \(x_1 x_2 x_3 \ldots \infty\) is equal toAP EAMCET 2002 Hard
- If the volume of a sphere increases at the rate of \(2 \pi \mathrm{cm}^3 / \mathrm{s}\), then the rate of increase of its radius (in \(\mathrm{cm} / \mathrm{s}\) ), when the volume is \(288 \pi \mathrm{cm}^3\), isAP EAMCET 2012 Easy
More PYQs from AP EAMCET
- Assertion The colour of old lead paintings can be restored by washing them with a dilute solution of .
Reason Hydrogen peroxide reduces toAP EAMCET 2021 Easy - If \(y=\cos ^{-1}\left\{\frac{a \cos x-b \sin x}{\sqrt{a^2+b^2}}\right\}\), then \(\frac{d^2 y}{d x^2}\) is equal toAP EAMCET 2021 Medium
- Let \(\theta \in R\) such that \(3 \sinh (2 \theta)=13-3 e^{2 \theta}\), then \(\theta=\)AP EAMCET 2022 Medium
- A oil drop having a mass \(4.8 \times 10^{-10} \mathrm{~g}\) and charge \(2.4 \times 10^{-18} \mathrm{C}\) stands still between two charged horizontal plates separated by a distance of \(1 \mathrm{~cm}\). If now the polarity of the plates is changed, instantaneous acceleration of the drop is : \(\left(g=10 \mathrm{~ms}^{-2}\right)\)AP EAMCET 2006 Medium
- The approximate value of \(\cos 31^{\circ}\) is \(\left(\right.\) Take \(\left.1^{\circ}=0.0174\right)\)AP EAMCET 2018 Easy
- Match the following
\begin{array}{|l|l|l|l|}\hline {|c|}{ List-I (Drug) } & {c|}{ List-II (Use) } \\\hline A. & Veronal & I. & Antihistamine \\\hline B. & Morphine & II. & Hypnotic \\\hline C. & Seldane & III. & Analgesic \\\hline & & IV. & Antidepressant \\\hline\end{array}
Correct answer isAP EAMCET 2024 Medium