COMEDK · Maths · 10. Straight Lines
A line \(L_1\) passes through the points \((h, k),(1,2)\) and \((-3,4)\). The points \((4,3)\) and \((h, k)\) lie on the line \(L_2\). Given \(L_1 \perp L_2\) then \((k-h)\) equals to
- A \(0\)
- B \(2\)
- C \(\dfrac{1}{2}\)
- D \(-2\)
Answer & Solution
Correct Answer
(D) \(-2\)
Step-by-step Solution
Detailed explanation
The line \(L_1\) passes through \((1, 2)\) and \((-3, 4)\). The slope of \(L_1\), denoted by \(m_1\), is calculated as \(m_1 = \dfrac{4 - 2}{-3 - 1} = \dfrac{2}{-4} = -\dfrac{1}{2}\). Since \(L_1\) also passes through \((h, k)\), the slope between \((h, k)\) and \((1, 2)\) must…
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
- \(\int_0^{\dfrac{\pi}{2}} \log \left(\dfrac{5+4 \sin x}{5+4 \cos x}\right) d x=\)COMEDK 2025 Easy
- Let \(a\) and \(b\) be non-zero real such that \(a \neq b\).
Then, the equation of the line passing through the origin and the point of intersection of \(\frac{x}{a}+\frac{y}{b}=1\) and \(\frac{x}{b}+\frac{y}{a}=1\) isCOMEDK 2015 Medium - The mean of the numbers obtained on throwing a die having written '1' on three faces, '2' on two faces and '5' on one face is:COMEDK 2025 Easy
- If the sum of the slopes of the lines given by \(x^{2}-4 p x y+8 y^{2}=0\) is three times their product, then \(p\) has the valueCOMEDK 2012 Medium
- isCOMEDK 2014 Medium
- \(\int_{-\pi / 2}^{\pi / 2} \sin ^2 x d x\) is equal toCOMEDK 2023 Hard
More PYQs from COMEDK
- The area enclosed by the pair of lines \(x y=0\), the line \(x-4=0\) and \(y+5=0\) isCOMEDK 2020 Easy
- When unpolarised light beam is incident from air onto glass \((n=1.5)\) at the polarising angleCOMEDK 2017 Medium
- What volume of \(0.2 \mathrm{~M}\) Acetic acid is to be added to \(100 \mathrm{ml}\) of \(0.4 \mathrm{M}\) Sodium acetate so that a Buffer solution of \(\mathrm{pH}\) equal to 4.94 is obtained? \((\mathrm{pK}_{\mathrm{a}}\) of \(\mathrm{CH}_3 \mathrm{COOH}=4.76)\)COMEDK 2024 Medium
- Dacron is obtained by the condensation polymerisation ofCOMEDK 2013 Easy
- The resistance of the galvanometer and shunt of an ammeter are \(90 \mathrm{~ohm}\) and \(10 \mathrm{~ohm}\) respectively, then the fraction of the main current passing through the galvanometer and the shut respectively are:COMEDK 2024 Easy
- Which of the following is not true for a perfect conductor?COMEDK 2025 Medium