JEE Mains · Maths · STD 11 - 9. straight line
If a line intercepted between the coordinate axes is trisected at a point \(A( 4, 3 ),\) which is nearer to \(x-\) axis, then its equation is
- A \(4x -3y =7\)
- B \(3x+2y= 18\)
- C \(3x+8y = 36\)
- D \(x+3y= 13\)
Answer & Solution
Correct Answer
(B) \(3x+2y= 18\)
Step-by-step Solution
Detailed explanation
A divides \(CB\) in \(2:1\) \( \Rightarrow 4 = \left( {\frac{{1 \times 0 + 2 \times a}}{{1 + 2}}} \right) = \frac{{2a}}{3}\) \( \Rightarrow a = 6 \Rightarrow \) coordinnate of \(B\) is \(B(6,0)\) \(3 = \left( {\frac{{1 \times b + 2 \times 0}}{{1 + 2}}} \right) = \frac{b}{3}\)…
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 \(x=x(t)\) is the solution of the differential equation \((t+1) d x=\left(2 x+(t+1)^4\right) d t, x(0)=2\), then \(x(1)\) equals ...........JEE Mains 2024 Hard
- The number of solutions of \(\tan^{-1}4x+\tan^{-1}6x=\frac{\pi}{6}\) where \(-\frac{1}{2\sqrt{6}}< x <\frac{1}{2\sqrt{6}}\) is equal toJEE Mains 2026 Easy
- Consider a curve \(y=y(x)\) in the first quadrant as shown in the figure. Let the area \(A_{1}\) is twice the area \(A _{2}\). Then the normal to the curve perpendicular to the line \(2 x -12 y =15\) does NOT pass through the point.
JEE Mains 2022 Hard - The tangent and normal to the ellipse \(3x^2 + 5y^2 = 32\) at the point \(P(2, 2)\) meet the \(x-\) axis at \(Q\) and \(R,\) respectively. Then the area(in sq. units) of the triangle \(PQR\) isJEE Mains 2019 Hard
- The distance of the point \(Q(0,2,-2)\) form the line passing through the point \(\mathrm{P}(5,-4,3)\) and perpendicular to the lines \(\overrightarrow{\mathrm{r}}=(-3 \hat{\mathrm{i}}+2 \hat{\mathrm{k}})\) \(\lambda(2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}+5 \hat{\mathrm{k}}), \lambda \in \mathbb{R}\) and \( \overrightarrow{\mathrm{r}}=(\hat{\mathrm{i}}-2 \hat{\mathrm{j}}+\hat{\mathrm{k}})+\) \(\mu(-\hat{i}+3 \hat{J}+2 \hat{K}), \mu \in \mathbb{R}\) isJEE Mains 2024 Hard
- Let \(A=\left(\begin{array}{rrr}1 & -1 & 0 \\ 0 & 1 & -1 \\ 0 & 0 & 1\end{array}\right)\) and \(B=7 A^{20}-20 A^{7}+2 I\), where \(I\) is an identity matrix of order \(3 \times 3\) If \(B=\left[b_{i j}\right]\), then \(b_{13}\) is equal to \(....\)JEE Mains 2021 Hard
More PYQs from JEE Mains
- The area of the region \(\left\{(x, y): x^2 \leq y \leq 8-x^2, y \leq 7\right\}\) isJEE Mains 2023 Hard
- If \(\int \limits_0^\pi \frac{5^{\cos x}\left(1+\cos x \cos 3 x+\cos ^2 x+\cos ^3 x \cos 3 x\right) d x}{1+5^{\cos x}}=\frac{k \pi}{16}\), then \(k\) is equal to \(...........\).JEE Mains 2023 Hard
- Let \(f(x)=\left\{\begin{array}{cc}-2, & -2 \leq x \leq 0 \\ x-2, & 0 < x \leq 2\end{array}\right.\) and \(h(x)=f(|x|)+|f(x)|\). Then \(\int_{-2}^2 \mathrm{~h}(\mathrm{x}) \mathrm{dx}\) is equal to :JEE Mains 2024 Hard
- A data consists of \(n\) observations \({x_1},{x_2},......,{x_n}.\) If \(\sum\limits_{i - 1}^n {{{({x_i} + 1)}^2}} = 9n\) and \(\sum\limits_{i - 1}^n {{{({x_i} - 1)}^2}} = 5n,\) then the standard deviation of this data isJEE Mains 2019 Hard
- The product of the last two digits of \((1919)^{1919}\) is ___________.JEE Mains 2025 Easy
- Let \(S=\{z \in \mathbb{C}: z^2+4z+16=0\}\). Then \(\sum_{z \in S}|z+\sqrt{3}i|^2\) is equal to:JEE Mains 2026 Medium