COMEDK · Maths · 10. Straight Lines
The angle between two lines is \(45^{\circ}\) and slope of one line is \(\dfrac{1}{4}\) then which is the possible value of the slope of the other line.
- A \(\dfrac{5}{4}\)
- B \(\dfrac{4}{5}\)
- C \(\dfrac{3}{5}\)
- D \(\dfrac{5}{3}\)
Answer & Solution
Correct Answer
(D) \(\dfrac{5}{3}\)
Step-by-step Solution
Detailed explanation
Let the slope of the first line be \(m_1 = \dfrac{1}{4}\) and the slope of the second line be \(m_2\). The angle \(\theta\) between two lines with slopes \(m_1\) and \(m_2\) is given by the formula \(\tan \theta = \left| \dfrac{m_2 - m_1}{1 + m_1 m_2} \right|\). Given…
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 \(1, \omega, \omega^{2}\) are the cube roots of unity, then \(\left(3+3 \omega^{2}+5 \omega\right)^{6}-\left(2+6 \omega^{2}+2 \omega\right)^{3}\) is equal toCOMEDK 2012 Easy
- If the coefficients of \(x^2\) and \(x^3\) in the expansion of \((3 + kx)^9\) are equal, then the value of '\(k\)' isCOMEDK 2026 Easy
- The foot of the perpendicular from the point \(P(1,6,3)\) to the line \(\dfrac{x}{1}=\dfrac{y-1}{2}=\dfrac{2-z}{-3}\) isCOMEDK 2025 Medium
- The number of bijective functions from the set A to itself, if \(A\) contains 108 elements isCOMEDK 2015 Easy
- \(\begin{aligned}
& S \equiv x^2+y^2-2 x-4 y-4=0 \text { and } \\
& S^{\prime} \equiv x^2+y^2-4 x-2 y-16=0 \text { are two circles }
\end{aligned}\)
the point \((-2,-1)\) liesCOMEDK 2023 Easy - The value of \(\left|\begin{array}{lll}x & p & q \\ p & x & q \\ p & q & x\end{array}\right|\) isCOMEDK 2020 Medium
More PYQs from COMEDK
- A mathematical model written to construct a maximum area rectangle out of a thread of length \(10 \mathrm{~cm}\) is given by maximise \(l b\).
Such that \(2(l+b)=10, l, b>0\), where \(l\) and \(b\) are the length and breadth of the rectangle.
This is not a linear programming problem becauseCOMEDK 2014 Medium - In Young's double slit experiment, the intensity of light at a point on the screen where the path difference is \(\lambda\) is \(\mathrm{K}\) units (\(\lambda\) is the wavelength of light used). The percentage change in intensity at a point where the path difference is \(\dfrac{\lambda}{6}\) and the above point isCOMEDK 2024 Medium
- The projection of \(\mathrm{a}=2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}-2 \hat{\mathrm{k}}\) on \(\mathrm{b}=\hat{\mathrm{i}}+2 \hat{\mathrm{j}}+3 \hat{\mathrm{k}}\) isCOMEDK 2013 Easy
- The slope of the tangent to the curve, \(y=x^3-3 x^2 y\) at \((1,1)\) isCOMEDK 2024 Easy
- Given below are graphs showing the variation in velocity constant with temperature on Kelvin scale. Identify the graph which represents Arrhenius equation.
COMEDK 2023 Medium - A bar magnet of length 6 cm is placed in the magnetic meridian with N pole pointing towards the geographical north. Two neutral points, separated by a distance of 8 cm are obtained on the equatorial axis of the magnet. If \(B_H = 1.2 \times 10^{-5}\text{ T}\), then the pole strength of the magnet is:COMEDK 2022 Medium