AP EAMCET · Maths · Properties of Triangles
In a \(\triangle A B C\), if \(\angle A=60^{\circ}\), then \((a+b+c)(b+c-a)=\)
- A \(3 b c\)
- B \(2 a b c\)
- C \(a b c\)
- D \(a+b+c\)
Answer & Solution
Correct Answer
(A) \(3 b c\)
Step-by-step Solution
Detailed explanation
In \(\triangle A B C\), \(\angle A=60^{\circ}, \angle B+\angle C=180^{\circ}-\angle A=120^{\circ}\) \(a=k \sin A, b=k \sin B, c=k \sin C\) (sine rule) Now, \((b+c+a)(b+c-a)\)…
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 number of subsets of \(\{1,2,3, \ldots, 9\}\) containing at least one odd number isAP EAMCET 2017 Easy
- The difference between two roots of the equation \(x^3-13 x^2+15 x+189=0\) is 2 . Then the roots of the equation are :AP EAMCET 2006 Medium
- The area of the triangle formed by the pair of lines \(23 x^2-\) \(48 x y+3 y^2=0\) with the line \(2 x+3 y+5=0\) isAP EAMCET 2024 Medium
- If \(x^2+\alpha y^2+2 \beta y=a^2\) represents a pair of perpendicular lines, then \(\beta\) equals toAP EAMCET 2014 Easy
- The number of trials conducted in a binomial distribution is 6. If the difference between the mean and variance of this variate is \(\frac{27}{8}\), then the probability of getting atmost 2 successes isAP EAMCET 2025 Medium
- If the area of a right angled triangle with hypotenuse 5 is maximum, then its perimeter isAP EAMCET 2025 Medium
More PYQs from AP EAMCET
- A number \(n\) is chosen at random from \(S=\{1,2,3, \ldots, 50\}\). Let
\(A=\left\{n \in S: n+\frac{50}{n}>27\right\}, B=\{n \in S: n\) is a prime) and \(C=\{n \in S: n\) is a square). Then, correct order of their probabilities isAP EAMCET 2005 Hard - \(a, b, c\) are the sides of a scalene triangle \(A B C\). If angles \(\alpha, \beta, \gamma\) lie between 0 and \(\pi\) such that \(\cos \alpha=\frac{a}{b+c}, \cos \beta=\frac{b}{c+a}\) and \(\cos \gamma=\frac{c}{a+b}\), then \(\tan ^2 \frac{\alpha}{2}+\tan ^2 \frac{\beta}{2}+\tan ^2 \frac{\gamma}{2}=\)AP EAMCET 2019 Medium
- When a meter rod made of silver at \(0^{\circ} \mathrm{C}\) is heated to \(100{ }^{\circ} \mathrm{C}\), its length increased by \(0.19 \mathrm{~cm}\). Then, find the coefficient of volume expansion of the silver.AP EAMCET 2021 Medium
- Match the following List-I with List-II.
\(\begin{array}{cccc}
\hline & \text { List-I } & & \text { List-II } \\
\hline \text { A. } & \oint E d A & \text { (i) } & 0 \\
\hline \text { B. } & \oint B d A & \text { (ii) } & -\frac{d \phi_B}{d t} \\
\hline \text { C. } & \oint E d l & \text { (iii) } & \frac{Q}{E_0} \\
\hline \text { D. } & \oint B d l & \text { (iv) } & \mu_0\left(i_c+i_d\right)
\end{array}\)AP EAMCET 2019 Easy - The incorrect statement about amylose isAP EAMCET 2025 Medium
- A line has slope and -intercept 4. The distance between the origin and the line is equal toAP EAMCET 2021 Easy