AP EAMCET · Maths · Properties of Triangles
In a triangle , if
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
Given, Triangle ABC, To find the value of acosA-bcosBacosB-bcosA+cosC Using the sine rule we get, =2RsinAcosA-2RsinBcosB2RsinAcosB-2RsinBcosA+cosC =sin2A-sin2B2sinAcosB-sinBcosA+cosC =2sinA-BcosA+B2sinA-B+cosC =cosA+B+cosC =-cosC+cosC as A+B=π-C =0
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
- Consider the quadratic equation \(a x^2+b x+c=0\), where \(2 a+3 b+6 c=0\) and let \(g(x)=\frac{a x^3}{3}+\frac{b x^2}{2}+c x\).
Statement-I : The given quadratic equation \(\mathrm{ax}^2+\mathrm{bx}+\mathrm{c}=0\) has at least one root in \((0,1)\).
Statement-II : \(\quad\) Rolle's theorem is applicable to \(\mathrm{g}(\mathrm{x})\) on \([0,1]\).
ThenAP EAMCET 2025 Medium - The general solution of the differential equation \(x y(y+2) d y+\left(y^3-1\right) d x=0\) isAP EAMCET 2025 Medium
- \(\lim _{x \rightarrow \infty}\left(\sqrt[3]{x^3+4 x^2}-\sqrt{x^2-3 x}\right)=\)AP EAMCET 2025 Medium
- If a function \(f: \mathbb{Z} \rightarrow \mathbb{Z}\) is defined by \(f(x)=x-(-1)^x\), then \(f(x)\) isAP EAMCET 2025 Medium
- The number of those tangents to the curve which pass through the point isAP EAMCET 2022 Easy
- The curve \(y=a x^2+b x\) passes through the point \((1,2)\) and lies above the \(X\)-axis for \(0 \leq x \leq 8\). If the area enclosed by this curve, the \(X\)-axis and the line \(x=6\) is 108 square units, then \(2 b-a=\)AP EAMCET 2019 Medium
More PYQs from AP EAMCET
- Let \(A B C\) be an acute-angled triangle with area \(R\). Then,
\[
\sqrt{a^2 b^2-4 R^2}+\sqrt{b^2 c^2-4 R^2}+\sqrt{c^2 a^2-4 R^2}=
\]AP EAMCET 2022 Easy - The quadratic equation whose roots are \(l\) and \(m\), where
\[
\begin{aligned}
& l=\lim _{\theta \rightarrow 0}\left(\frac{3 \sin \theta-4 \sin ^2 \theta}{\theta}\right), \\
& m=\lim _{\theta \rightarrow 0} \frac{2 \tan \theta}{\theta\left(1-\tan ^2 \theta\right)}, \text { is }
\end{aligned}
\]AP EAMCET 2002 Hard - IUPAC name of

isAP EAMCET 2019 Easy - The equation of the pair of tangents drawn from the point \((1,1)\) to the circle \(x^2+y^2+2 x+2 y+1=0\) isAP EAMCET 2023 Medium
- An object of mass \(10 \mathrm{~kg}\) is released from rest in a liquid. If the object moves a distance of \(2 \mathrm{~m}\) while sinking in time duration of \(1 \mathrm{~s}\), then the mass of the liquid displaced by the submerged object is
\(\left(\right.\) Acceleration due to gravity \(=10 \mathrm{~m} \mathrm{~s}^{-2}\) )AP EAMCET 2022 Easy - The value of \(\Sigma_{r=0}^4{ }^{(19-r)} C_3+{ }^{15} C_4\) is equal toAP EAMCET 2021 Medium