MHT CET · Maths · Pair of Lines
If the equation \(a x^{2}+h x y+b y^{2}=0\) represents a pair of coincident lines, then
- A \(h^{2}=2 a b\)
- B \(h^{2}=4 a b\)
- C \(h^{2}=8 a b\)
- D \(h^{2}=a b\)
Answer & Solution
Correct Answer
(B) \(h^{2}=4 a b\)
Step-by-step Solution
Detailed explanation
This is by definition.
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 value of \(\int \frac{\mathrm{d} x}{x^2\left(x^4+1\right)^{\frac{3}{4}}}\) isMHT CET 2023 Medium
- A wholesale merchant wants to start the business of cereal with Rs 24000 . Wheat is Rs 400 per quintal and rice is Rs 600 per quintal. He has capacity to store 200 quintal cereal. He earns the profit Rs 25 per quintal on wheat and Rs 40 per quintal on rice. If he stores \(x\) quintal rice and \(y\) quintal wheat, then for maximum profit the objective function isMHT CET 2008 Medium
- \(\int \frac{(\log x-1)^2}{\left[1+(\log x)^2\right]^2} d x=\) (where \(C\) is constant of integration.)MHT CET 2022 Medium
- If \(\tan ^{-1}(x+1)+\tan ^{-1} x+\tan ^{-1}(x-1)=\tan ^{-1} 3\), then for \(x < 0\) the value of \(500 x^4+270 x^2+997=\)MHT CET 2025 Medium
- with usual notations, if triangle \(\mathrm{ABC}\) is right angled at \(\mathrm{C}\), then \(\left(\frac{\mathrm{a}^{2}+\mathrm{b}^{2}}{\mathrm{a}^{2}-\mathrm{b}^{2}}\right) \sin (\mathrm{A}-\mathrm{B})=\)MHT CET 2020 Medium
- If the complex number \(\mathrm{z}=x+\mathrm{i} y\), where \(\mathrm{i}=\sqrt{-1}\), satisfies the condition \(|z+1|=1\), then \(z\) lies onMHT CET 2024 Medium
More PYQs from MHT CET
- The endodermal cell show Casparian strips made up of _________ .MHT CET 2020 Easy
- Which of the following is a correct group of sensory cranial nerves?MHT CET 2023 Medium
- If \(\cos ^{-1} x+\cos ^{-1} y+\cos ^{-1} z=\pi\) and \(x^2+y^2+z^2+k x y z=1\), then k isMHT CET 2024 Medium
- With usual notations in \(\Delta \mathrm{ABC}\), if \(C=90^{\circ}\), then \(\tan ^{-1}\left(\frac{a}{b+c}\right)+\tan ^{-1}\left(\frac{b}{c+a}\right)=\)MHT CET 2020 Medium
- Increased levels of blood creatinine is an indication of poor ______ function.MHT CET 2021 Hard
- The amount of work done in increasing the voltage across the plates of the capacitor from to is . The work done in increasing it from to will beMHT CET 2016 Medium