COMEDK · Maths · 10. Straight Lines
The intercept cut off by a line from \(y\)-axis is twice that from \(x\)-axis and the line passes through the point \((1,2)\), then the equation of a line is
- A \(2 x-y=4\)
- B \(2 x+y-4=0\)
- C \(2 x-y+4=0\)
- D \(2 x+y+4=0\)
Answer & Solution
Correct Answer
(B) \(2 x+y-4=0\)
Step-by-step Solution
Detailed explanation
Let the intercept on the \(x\)-axis be \(a\). According to the problem, the intercept on the \(y\)-axis is \(2a\). The intercept form of the line is \(\dfrac{x}{a} + \dfrac{y}{2a} = 1\). Multiplying by \(2a\), we get \(2x + y = 2a\). Since the line passes through the point…
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
- If \(a, b, c\) are in \(\mathrm{AP}\), then the value of the determinant \(\left|\begin{array}{lll}x+2 & x+3 & x+2 a \\ x+3 & x+4 & x+2 b \\ x+4 & x+5 & x+2 c\end{array}\right|\) isCOMEDK 2015 Medium
- \(\text { If } \dfrac{1}{2}\left(\dfrac{3 x}{5}+4\right) \geq \dfrac{1}{3}(x-6), x \in R \text { then }\)COMEDK 2024 Easy
- From a point \(P(a, b, c)\) perpendicular \(P A, P B\) are drawn to \(y z\) and \(z x\) planes. Find the equation of the plane \(O A B\), where \(O\) is the origin.COMEDK 2014 Hard
- In the expansion \(\left(\dfrac{1}{x}+x \sin x\right)^{10}, \quad\) the co - efficient of \(6^{\text {th }}\) term is equal to \(7 \dfrac{7}{8}\), then the principal value of \(x\) isCOMEDK 2024 Medium
- If \(1, \omega, \omega^{2}\) are the cube roots of unity, then \((\mathbf{i}+\omega)\left(\mathbf{i}+\omega^{2}\right)\left(\mathbf{i}+w^{4}\right)\left(\mathbf{i}+\omega^{8}\right)\) is equal ioCOMEDK 2020 Medium
- Consider an experiment \(E\) in which a box contains 10 identical tickets numbered 1 to 10 and 2 tickets are drawn at random from the box. What is the probability that both the tickets have even number on them?COMEDK 2014 Medium
More PYQs from COMEDK
- The area of the region bounded by the curve \(y^2=2 y-x\) and the \(y\)-axis isCOMEDK 2025 Medium
- The IUPAC name of
isCOMEDK 2019 Easy - Let the equation of pair of lines \(y=m_1 x\) and \(y=m_2 x\) can be written as \(\left(y-m_1 x\right)\left(y-m_2 x\right)=0\). Then, the equation of the pair of the angle bisector of the line \(3 y^2-5 x y-2 x^2=0\) isCOMEDK 2023 Medium
- The scalar components of a unit vector which is perpendicular to each of the vectors \(\hat{\imath}+2 \hat{\jmath}-\hat{k}\) and \(3 \hat{\imath}-\hat{\jmath}+2 \hat{k}\) areCOMEDK 2023 Medium
- A polygon of n sides has 90 diagonals, then n is equal toCOMEDK 2023 Easy
- The number of solutions of the equation \(|\cot x|=\cot x+\frac{1}{\sin x},(0 \leq x \leq 2 \pi)\) isCOMEDK 2015 Medium