AP EAMCET · Maths · Trigonometric Equations
The number of ordered pairs \((x, 1)\) satisfying the equations \(\sin x+\sin y=\sin (x+y)\) and \(|x|+|y|=1\) is
- A \(2\)
- B \(3\)
- C \(4\)
- D \(6\)
Answer & Solution
Correct Answer
(D) \(6\)
Step-by-step Solution
Detailed explanation
\(\sin x+\sin y=\sin (x+y)\) \(2 \sin \frac{(x+y)}{2} \cos \frac{(x-y)}{2}=2 \sin \frac{(x+y)}{2} \cos \frac{(x+y)}{2}\) \(\Rightarrow \sin \frac{(x+y)}{2}\left[\cos \frac{(x-y)}{2}-\cos \frac{(x+y)}{2}\right]=0\)…
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
- \(\int \frac{d x}{(\sin x)(\cos x)}\) is equal toAP EAMCET 2021 Easy
- If \(x=\sin \left(2 \tan ^{-1} 2\right)\) and \(y=\sin \left(\frac{1}{2} \tan ^{-1} \frac{4}{3}\right)\),thenAP EAMCET 2016 Hard
- Let \(u\) and \(v\) be non-collinear vectors in \(R^2\). Let \(w\) be the orthogonal projection vector of \(u\) on
v. Consider two statements :
(i) Any vector in \(R^2\) can be written as a linear combination of \(u\) and \(v\)
(ii) \(w\) can be written as a linear combination of \(u\) and \(v\) as \(w=a u+b v\), where both \(a\) and \(b\) are non-zero real numbers.AP EAMCET 2021 Medium - If and are the roots of thenAP EAMCET 2018 Easy
- The mean deviation about the mean for the following data is
AP EAMCET 2019 Easy - The area of the region (in sq.units) bounded by the curves \(x^2+y^2=16\) and \(\mathrm{y}^2=6 \mathrm{x}\) isAP EAMCET 2025 Medium
More PYQs from AP EAMCET
- Gas is being pumed into a spherical balloon at the rate of \(30 \mathrm{ft}^3 / \mathrm{min}\). The rate at which the radius increase when it reaches the value \(15 \mathrm{ft}\), is :AP EAMCET 2003 Medium
- If and throw two dice times each simultaneously, then the probability that both of them will get even number as the total score at the same time in all the throws isAP EAMCET 2019 Easy
- A manufacturing company noticed that \(1 \%\) of its products are defective. If a dealer orders for 300 items from this company, then the probability that the number of defective items is atmost one isAP EAMCET 2024 Medium
- If a chord of the parabola \(y^2=4 x\) passes through its focus and makes an angle \(\theta\) with the \(X\)-axis, then its length isAP EAMCET 2011 Hard
- If a seven digit number formed with distinct digits 4,6 , \(9,5,3, x\) and \(y\) is divisible by 3 , then the number of such ordered pairs \((x, y)\) isAP EAMCET 2023 Medium
- If is a positive integer such that the roots of the equation are rational numbers, then the smallest possible value of isAP EAMCET 2021 Medium