TS EAMCET · Maths · Properties of Triangles
In a triangle \(\mathrm{ABC}\), if \(a=7, c=11, \cos \mathrm{A}=\frac{17}{22}, \cos \mathrm{C}=\frac{1}{14}\) then \(b \tan \frac{\mathrm{B}}{2} \tan \frac{\mathrm{C}-\mathrm{A}}{2}=\)
- A 18
- B 14
- C 2
- D 9
Answer & Solution
Correct Answer
(C) 2
Step-by-step Solution
Detailed explanation
Given \(a=7, c=11, \cos \mathrm{A}=\frac{17}{22}, \cos \mathrm{C}=\frac{1}{14}\) Apply, law of tangent \[ \tan \left(\frac{\mathrm{c}-\mathrm{A}}{2}\right)=\left(\frac{\mathrm{c}-a}{\mathrm{c}+a}\right) \cot \left(\frac{\mathrm{B}}{2}\right) \] Now,…
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
- A person tossing a biased coin indefinitely wins the game by getting head for the first time. The probability that he wins the game in odd number of tosses is \(3 / 4\). If 5 such coins are tossed at a time then the probability that head appears on all the coins isTS EAMCET 2020 Medium
- If the sum of the distances of a point \(P\) from two perpendicular lines in a plane is 1 , then the locus of \(P\) is aTS EAMCET 2008 Medium
- If the direction cosines of two lines satisfy the equations \(l+m+n=0\) and \(2 l m+2 l n-m n=0\), then the acute angle between those two lines isTS EAMCET 2018 Medium
- A straight line makes an intercept on the \(Y\)-axis twice as long as that on \(X\)-axis and is at unit distance from the origin. Then the line is represented by the equationsTS EAMCET 2017 Medium
- A circle \(S\) passes through the points of intersection of the circles \(x^2+y^2-2 x-3=0\) and \(x^2+y^2-2 y=0\). If \(x+y+1=0\) is a tangent to the circle \(S\), then equation of \(S\) isTS EAMCET 2024 Medium
- \(\lim _{n \rightarrow \infty}\left[\left(1+\frac{1}{n^2}\right)\left(1+\frac{2^2}{n^2}\right) \ldots . .\left(1+\frac{n^2}{n^2}\right)\right]^{1 / n}=\)TS EAMCET 2020 Hard
More PYQs from TS EAMCET
- In a transistor circuit, the collector current is changed by , if the emitter current is changed to . The value of current amplification factor, isTS EAMCET 2019 Easy
- Let \(f: \mathbb{R} \rightarrow \mathbb{R}\) be a function defined by \(\mathrm{f}(\mathrm{x})=\left\{\begin{array}{cc}x^2-4 x+3, & \text { if } x < 2 \ x-3, & \text { if } x \geq 2\end{array}\right.\) Then the number of real numbers \(x\) for which \(f(x)=8\) isTS EAMCET 2023 Easy
- The displacement equations of sound waves produced by two sources are given by \(y_1=5 \sin 400 \pi t\) and \(y_2=\) \(8 \sin 408 \pi t\), where ' \(t\) ' is time in seconds. If the waves are produced simultaneously, the number of beats produced per minute isTS EAMCET 2024 Medium
- A carrier wave of peak voltage is used to transmit a message signal. What should be the peak voltage of the modulating signal in order to have a modulation index ofTS EAMCET 2021 Easy
- Observe the following oxides. The number of amphoteric oxides from the given list is
\(\mathrm{CO}, \mathrm{B}_2 \mathrm{O}_3, \mathrm{SnO}_2, \mathrm{PbO}_2, \mathrm{Ga}_2 \mathrm{O}_3, \mathrm{SnO}, \mathrm{PbO}, \mathrm{CO}_2\)TS EAMCET 2025 Medium - A system is provided with \(50 \mathrm{~J}\) of heat and the work done on the system is \(10 \mathrm{~J}\). What is the change in internal energy of the system in joules?TS EAMCET 2010 Easy