AP EAMCET · Maths · Pair of Lines
The lines represented by \(a x^2+2 h x y+b y^2=0\) are perpendicular to each other, if ........
- A \(h^2=a+b\)
- B \(a+b=0\)
- C \(h^2=a b\)
- D \(h=0\)
Answer & Solution
Correct Answer
(B) \(a+b=0\)
Step-by-step Solution
Detailed explanation
Pair of straight lines through origin are given by \(a x^2+2 h x y+b y^2=0\) Angle " \(\theta\) ' between lines is given by, \(\tan \theta=\left|\frac{2 \sqrt{h^2-a b}}{a+b}\right|\) When lines are perpendicular \(\theta=90^{\circ}\)…
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 plane \(x\) passes through the point \((1,1,1)\). If \(b, c, a\) are the direction ratios of a normal to the plane, where \(a, b, c(a < b < c)\) are the factors of 2001 , then the equation of the plane isAP EAMCET 2002 Medium
- If \(x^y=y^x\), then \(x(x-y \log x) \frac{d y}{d x}\) is equal to :AP EAMCET 2006 Hard
- If a team of 4 persons is to be selected out of 4 married couples to play mixed doubles tennis game, then the number of ways of forming a team in which no married couple appears, isAP EAMCET 2025 Medium
- For the differential equation \(\frac{d^3 y}{d x^3}=0\), \(y=a x^2+b x+c\) isAP EAMCET 2022 Easy
- If \(\frac{x^4}{(x-1)(x-2)}=f(x)+\frac{A}{x-1}+\frac{B}{x-2}\), then \(f(-2)+A+B=\)AP EAMCET 2025 Medium
- The range of the observations is _____AP EAMCET 2020 Medium
More PYQs from AP EAMCET
- If \(5 x-2 y+k=0\) is a tangent to the parabola \(y^2=6 x\), then their point of contact isAP EAMCET 2018 Easy
- An object of mass \(3 \mathrm{~kg}\) is tied by a string of negligible mass to a ceiling and held such that the string is taut. The object is released suddenly such that the string remains taut. It's acceleration when released is (acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\) )
AP EAMCET 2022 Hard - A body cools down from \(75^{\circ} \mathrm{C}\) to \(60^{\circ} \mathrm{C}\) in 10 minutes. It will cool down from \(65^{\circ} \mathrm{C}\) to \(55^{\circ} \mathrm{C}\) in a timeAP EAMCET 2022 Hard
- The general solution of the differential equation \(\left(x \sin \frac{y}{x}\right) d y=\left(y \sin \frac{y}{x}-x\right) d x\) isAP EAMCET 2024 Medium
- The conjugate base of \(\mathrm{H}_3 \mathrm{O}^{+}\)isAP EAMCET 2022 Easy
- \(\vec{c}\) is a vector along the bisector of the internal angle between the vectors \(\vec{a}=4 \hat{i}+7 \hat{j}-4 \hat{k}\) and \(\vec{b}=12 \hat{i}-3 \hat{j}+4 \hat{k}\). If the magnitude of \(\vec{c}\) is \(3 \sqrt{13}\) then \(\vec{c}=\)AP EAMCET 2024 Medium