MHT CET · Maths · Pair of Lines
If one of the lines of the pair \(a x^{2}+2 h x y+b y^{2}=0\) bisects the angle between positive direction of the axes, then \(a, b\) and \(h\) satisfy the relation
- A \(a+b=2|h|\)
- B \(a+b=-2 h\)
- C \(a-b=2|h|\)
- D \((a-b)^{2}=4 h^{2}\)
Answer & Solution
Correct Answer
(B) \(a+b=-2 h\)
Step-by-step Solution
Detailed explanation
\(y=x\), should satisfy \(a x^{2}+2 h x y+b y^{2}=0\)
\(
\Rightarrow a+b=-2 h
\)
\(
\Rightarrow a+b=-2 h
\)
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 area (in sq. units), in the first quadrant bounded by the curve \(y=x^2+2\) and the lines \(y=x+1, x=0\) and \(x=2\), isMHT CET 2024 Easy
- Radium decompose at the rate proportional to the amount present at any time. If \(\mathrm{P} \%\) of amount disappears in one year, then amount of radium left after 2 years isMHT CET 2021 Easy
- \(\int \frac{\mathrm{d} x}{\sin ^2 x \cos ^2 x}=\)MHT CET 2025 Easy
- \(\int \frac{3 x-2}{(x+1)(x-2)^2} d x=\)
(where \(C\) is a constant of integration.)MHT CET 2022 Medium - If \(y=\log \sqrt{\tan x}\), then the value of \(\frac{d y}{d x}\) at \(x=\frac{\pi}{4}\) isMHT CET 2021 Easy
- \((1+\Lambda)^{n} f(a)\) is equal toMHT CET 2010 Easy
More PYQs from MHT CET
- A random variable \(\mathrm{X}\) has the following probability distribution
Then \(\mathrm{P}(3 < \mathrm{x} \leq 6)=\)MHT CET 2021 Medium - If \(\tan ^{-1}\left(\frac{1}{4}\right)+\tan ^{-1}\left(\frac{2}{9}\right)=\frac{1}{2} \cos ^{-1} x\), then \(x\) isMHT CET 2024 Easy
- \(\int e^x\left(\frac{1+\sin x}{1+\cos x}\right) d x=\)MHT CET 2021 Medium
- Identify the devices which work on solar energy.
(a) Photodiode
(b) Photovoltaic cell.
(c) LED
(d) Photo thermal devices.MHT CET 2022 Easy - In with the usual notations, if then the triangle is ….MHT CET 2019 Easy
- Calculate the wavenumber of photon emitted during transition from the orbit of \(n=3\) to \(n=2\) in hydrogen atom. \(\left(\mathrm{R}_{\mathrm{H}}=109677 \mathrm{~cm}^{-1}\right)\)MHT CET 2023 Medium