AP EAMCET · Maths · Quadratic Equation
In \(\triangle P Q R, \angle R=\frac{\pi}{4}, \tan \left(\frac{P}{3}\right), \tan \left(\frac{Q}{3}\right)\) are the roots of the equation \(a x^2+b x+c=0\), then
- A \(a+b=c\)
- B \(b+c=0\)
- C \(a+c=0\)
- D \(b=c\)
Answer & Solution
Correct Answer
(A) \(a+b=c\)
Step-by-step Solution
Detailed explanation
Given, \(\quad R=\frac{\pi}{4}\) Also, \(P+Q+R=\pi\)…
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
- Let \(\mathrm{A}\) and \(\mathrm{B}\) be two independent events of a random experiment. If the probability that both A and B occur is \(\frac{1}{6}\) and the probability that neither of them occur is \(\frac{1}{3}\), then the probability of occurrence of \(\mathrm{A}\) isAP EAMCET 2023 Hard
- If \(\alpha, \beta\) are the two real roots of \(4^{\mathrm{tn}}\) roots of unity and \(\gamma, \delta\) are the other two roots of it, then the sum of the eccentricities of the conics \(|z-\alpha|+|z-\beta|=4\) and \(|z-\gamma|+|z-\delta|=6\) isAP EAMCET 2023 Hard
- The perimeter of a sector is a constant. If its area is to be maximum, the sectorial angle is :AP EAMCET 2006 Medium
- If the two curves \(\mathrm{y}=a^x\) and \(y=b^x\) intersect at angle \(\alpha\), then \(\tan \alpha=\)AP EAMCET 2022 Hard
- If \(A \subseteq Z\) and the function \(\mathrm{f}: \mathrm{A} \rightarrow \mathrm{R}\) is defined by \(f(x)=\frac{1}{\sqrt{64-(0.5)^{24+x-x^2}}}\) then the sum of all absolute values of elements of A isAP EAMCET 2024 Medium
- If \(\alpha, \beta, \gamma\) are the roots of the equation \(x^3+a x^2+b x+c=0\), then \((\alpha+\beta-2 \gamma)(\beta+\gamma-2 \alpha)(\gamma+\alpha-2 \beta)=\)AP EAMCET 2025 Medium
More PYQs from AP EAMCET
- If the line \(x+2 y=k\) intersects the curve \(x^2-x y+y^2+3 x+3 y-2=0\) at two points \(A\) and \(B\) and if \(O\) is the origin, then the condition for \(\angle \mathrm{AOB}=90^{\circ}\) isAP EAMCET 2018 Medium
- \(\int_0^{\pi 6} \cos ^4 3 \theta \cdot \sin ^2 6 \theta d \theta\) equals toAP EAMCET 2014 Medium
- \(6 \Omega\) and \(12 \Omega\) resistors are connected in parallel. This combination is connected in series with a \(10 \mathrm{~V}\) battery and \(6 \Omega\) resistor. What is the potential difference between the terminals of the \(12 \Omega\) resistor?AP EAMCET 2010 Easy
- The value of \(|z|^2+|z-3|^2+|z-i|^2\) is minimum when \(z\) equalsAP EAMCET 2020 Medium
- There are 2 bags each containing 3 white and 5 black balls and 4 bags each containing 6 white and 4 black balls. If a ball drawn randomly from a bag is found to be black, then the probability that this ball is from the first set of bags isAP EAMCET 2024 Easy
- If , then is equal toAP EAMCET 2021 Easy