WBJEE · Maths · Straight Lines
A straight line through the point (3,-2) is ndined at an angle \(60^{\circ}\) to the line \(\sqrt{3} x+y=1\). If it intersects the \(X\) -axis, then its equation vill be
- A \(y+x \sqrt{3}+2+3 \sqrt{3}=0\)
- B \(y-x \sqrt{3}+2+3 \sqrt{3}=0\)
- C \(y-x \sqrt{3}-2-2 \sqrt{3}=0\)
- D \(x-x \sqrt{3}+2-3 \sqrt{3}=0\)
Answer & Solution
Correct Answer
(B) \(y-x \sqrt{3}+2+3 \sqrt{3}=0\)
Step-by-step Solution
Detailed explanation
Given line, \[ \begin{array}{l} \sqrt{3} x+y=1 \\ y=-\sqrt{3} x+c \end{array} \] We know that, \(m=-\sqrt{3}\)…
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 \(i=\sqrt{-1}\) and \(n\) is a positive integer, then \(i^n+i^{n+1}+i^{n+2}+i^{n+3}\) is euqal toWBJEE 2009 Easy
- The value of \(\int_{-2}^2(x \cos x+\sin x+1) d x\) isWBJEE 2011 Easy
- The normal to the curve \(y=x^{2}-x+1\), drawn at the points with the abscissa \(x_{1}=0, x_{2}=-1\) and \(x_{3}=5 / 2\)WBJEE 2018 Easy
- The number of integer values of \(m\), for which the \(x\) -coordinate of the point of intersection of the lines \(3 x+4 y=9\) and \(y=m x+1\) is also an integer, isWBJEE 2012 Easy
- If the following three linear equations have a non-trivial solution, then
\[
\begin{array}{l}
x+4 a y+a z=0 \\
x+3 b y+b z=0 \\
x+2 c y+c z=0
\end{array}
\]WBJEE 2018 Easy - The coefficient of \(x^n\) in the expansion of \(\frac{e^{7 x}+e^x}{e^{3 x}}\) isWBJEE 2011 Easy
More PYQs from WBJEE
- If \(\int e^{\sin x} \cdot\left[\frac{x \cos ^{3} x-\sin x}{\cos ^{2} x}\right] d x=e^{\sin x} f(x)+c\)
where c is constant of integration, then \(f(x)\) is
equal toWBJEE 2018 Medium - 3 moles of mono-atomic gas \((\gamma=5 / 3)\) is mixed with 1 mole of a diatomic gas \((\gamma=7 / 3) .\) The value of \(\gamma\) for the mixture will beWBJEE 2013 Easy
- If \(P(0,0), Q(1,0)\) and \(R\left(\frac{1}{2}, \frac{\sqrt{3}}{2}\right)\) are three given points, then the centre of the circle for which the lines \(P Q, Q R\) and \(R P\) are the tangents isWBJEE 2019 Medium
- If the matrix \(A=\left[\begin{array}{lll}2 & 0 & 0 \\ 0 & 2 & 0 \\ 2 & 0 & 2\end{array}\right],\) then
\(A^{n}=\left[\begin{array}{lll}a & 0 & 0 \\ 0 & a & 0 \\ b & 0 & a\end{array}\right], n \in N,\) whereWBJEE 2016 Medium - If \(a_{n}(>0)\) be the \(n^{\text {th }}\) term of a G.P. then \(\left|\begin{array}{lll}\log a_{n} & \log a_{n+1} & \log a_{n+2} \\ \log a_{n+3} & \log a_{n+4} & \log a_{n+5} \\ \log a_{n+6} & \log a_{n+7} & \log a_{n+8}\end{array}\right|\) is equal toWBJEE 2021 Hard
- If a string, suspended from the ceilling is given a downward force \(F_1\), its length becomes \(L_1\), Its length is \(L_2\), if the downward force is \(\mathrm{F}_2\). What is its actual length?WBJEE 2022 Hard