AP EAMCET · Maths · Properties of Triangles
If \(a, b\) and \(c\) are the sides of \(\triangle A B C\) for which \(r_1=8, r_2=12\) and \(r_3=24\), then the ordered triad \((a, b, c)=\)
- A \((12,20,16)\)
- B \((12,16,20)\)
- C \((16,12,20)\)
- D \(20,16,12)\)
Answer & Solution
Correct Answer
(B) \((12,16,20)\)
Step-by-step Solution
Detailed explanation
It is given that \(\begin{aligned} r_1 & =8=\frac{\Delta}{s-a} \quad \ldots (i) \\ & r_2=12=\frac{\Delta}{s-b} \quad \ldots (ii) \\ \text { and } \quad r_3 & =24=\frac{\Delta}{s-c} \quad \ldots (iii) \end{aligned}\) From Eqs. (i) and (ii), we get…
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 \(a, b, c\) are in AP, \(b-a, c-b\) and \(a\) are in GP, then \(a: b: c\) isAP EAMCET 2007 Easy
- The angle between the tangents drawn from a point \((-3,2)\) to the ellipse \(4 x^2+9 y^2-36=0\) isAP EAMCET 2025 Medium
- If \(1, \omega, \omega^2\) are the cube roots of unity and \((x+y)(x \omega+\) \(\left.y \omega^2\right)\left(x \omega^2+y \omega\right)=f(x, y)\), then \(f(2,3)=\)AP EAMCET 2023 Easy
- If \(L\) is the normal drawn to the parabola \(y^2=8 x\) at the point \(t=\frac{1}{\sqrt{2}}\), then the foot of the perpendicular drawn from the focus of the parabola on to the normal L isAP EAMCET 2025 Medium
- If \(l\) and \(m\) are the degree and the order respectively of the differential equation of the family of all circles in the \(X Y\) plane with radius 5 units, then \(2 l+3 m=\)AP EAMCET 2018 Easy
- If \(\alpha, \beta, \gamma\), are the roots of the equation \(x^3+4 x+1=0\), then \((\alpha+\beta)^{-1}+(\beta+\gamma)^{-1}+(\gamma+\alpha)^{-1}\) is equal toAP EAMCET 2003 Hard
More PYQs from AP EAMCET
- If the roots of the equation \(x^2+2 a x+b=0\) are real, distinct and differ atmost by 2 m, then b lies in the intervalAP EAMCET 2025 Medium
- Which of the following set of elements do not possess \(f\)-electrons?AP EAMCET 2019 Easy
- A ball of mass moving horizontally at strikes a vertical wall and rebounds with speed . The magnitude of the change in linear momentum is found to be . The magnitude of is,AP EAMCET 2022 Easy
- \(\lim _{x \rightarrow 0} \frac{x \tan 2 x-2 x \tan x}{(1-\cos 2 x)^2}=\)AP EAMCET 2025 Medium
- The order and degree of the differential equation \(\sqrt{\frac{d y}{d x}}-4 \frac{d y}{d x}-7 x=0\) are respectivelyAP EAMCET 2021 Easy
- If the points \((1,2)\) and \((3,4)\) lie on the same side of the straight line \(3 x-5 y+a=0\), then \(a\) lies in the setAP EAMCET 2013 Medium