COMEDK · Maths · 10. Straight Lines
Equation of the straight line making equal intercepts on the axes and passing through the point \((2,4)\) is
- A \(4 x-y-4=0\)
- B \(2 x+y-8=0\)
- C \(x+y-6=0\)
- D \(x+2 y-10=0\)
Answer & Solution
Correct Answer
(C) \(x+y-6=0\)
Step-by-step Solution
Detailed explanation
Let the equation of line be \[ x+y=a \] \[ [\therefore a=b] \] Now, given line passes through \((2,4)\), then \[ \begin{aligned} 2+4 &=a \\ \Rightarrow \quad a &=6 \end{aligned} \] \(\therefore\) Equation of line is \(x+y-6=0\)
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 solution of the differential equation \(\dfrac{d^2 y}{d x^2}=0\) representsCOMEDK 2022 Easy
- There are 10 points in a plane out of which 4 points are collinear. How many straight lines can be drawn by joining any two of them?COMEDK 2023 Medium
- A student needs to buy notebooks (\(n\)) for a semester. Double the number of notebooks plus 5 must strictly exceed 15, but the number of notebooks plus 10 must be no more than 22. What is the range of notebooks they can buy?COMEDK 2026 Easy
- \(\int \sqrt{2ax - x^2}\ dx =\)COMEDK 2026 Medium
- If \(\omega=\frac{-1+\sqrt{3 i}}{2} \operatorname{then}\left(3+\omega+3 \omega^{2}\right)^{4}\) isCOMEDK 2013 Easy
- Amplitude of the complex number \(i \sin \left(\frac{\pi}{19}\right)\) isCOMEDK 2015 Easy
More PYQs from COMEDK
- A polysaccharide \([\mathrm{X}]\) represented as \(\left(\mathrm{C}_6 \mathrm{H}_{10} \mathrm{O}_5\right)\) n serves as a reserve carbohydrate in human beings. An enzyme Phosphorylase breaks it down to glucose when required. It is also found in yeast and fungi. What is \([\mathrm{X}]\) ?COMEDK 2025 Easy
- Identify the incorrect statement/s.
A. The maximum number of electrons that can be accommodated in an atom, in which the largest Principal quantum number value is 4 , is 54 . B. According to Rydberg, all series of lines in Hydrogen spectrum can be described by the equation:
\(\frac{1}{\lambda}=109677\left(\frac{1}{n_1^2}-\frac{1}{n_2^2}\right) \mathrm{cm}^{-1}\) where \(\left(n_1COMEDK 2025 MediumAn organic compound which produces a bluish green coloured flame on heating in presence of copper isCOMEDK 2018 EasyThe displacement of a wave is given by \(y=20 \cos (\omega t+4 z)\). The amplitude of the given wave isCOMEDK 2021 MediumThe SI unit of electrical conductivity is :COMEDK 2023 Easy