AP EAMCET · Maths · Straight Lines
In \(\triangle \mathrm{ABC}\) the coordinates of the vertex \(\mathrm{A}\) are \((-3,1)\). If the equation of the median through \(B\) is \(2 x+y-3=0\) and the equation of the bisector of angle \(\mathrm{C}\) is \(7 \mathrm{x}-4 \mathrm{y}-1=0\), then the equation of the side \(\mathrm{BC}\) is
- A \(7 x-3 y=6\)
- B \(18 \mathrm{x}-\mathrm{y}=49\)
- C \(15 x+y=50\)
- D \(4 x-y=7\)
Answer & Solution
Correct Answer
(B) \(18 \mathrm{x}-\mathrm{y}=49\)
Step-by-step Solution
Detailed explanation
\(M=\) Mid point of \(A C=\left(\frac{-3+h}{2}, \frac{1+k}{2}\right)\) \(\because(h, k)\) lies on \(7 x-4 y-1=0\). \(\Rightarrow 7 h-4 k-1=0 \Rightarrow h=\frac{4 k+1}{7}\)…
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 \(f: \mathbb{R}-\{0\} \rightarrow \mathbb{R}\) is defined by \(f(x)=x+\frac{1}{x}\) and if \(f^k(x)=[f(x)]^k\) for \(k \geq 1\) then \(f^4(x)-f\left(x^4\right)-4 f^2(x)=\)AP EAMCET 2017 Medium
- If the lines joining the origin to the points of intersection of \(2 x+3 y=k\) and \(3 x^2-x y+3 y^2+2 x-3 y-4=0\) are at right angles, thenAP EAMCET 2023 Medium
- If the direction ratios of two lines are given by 3lm − 4ln + mn = 0 and l + 2m + 3n = 0, then the angle between the lines isAP EAMCET 2021 Medium
- If the chord joining the points \((1,2)\) and \((2,-1)\) on a circle subtends an angle of \(\frac{\pi}{4}\) at any point on its circumference then the equation of such a circle isAP EAMCET 2025 Medium
- If is defined by , thenAP EAMCET 2021 Medium
- The derivative of \(\operatorname{Sec}^{-1}\left(\frac{1}{2 x^2-1}\right)\) with respect to \(\sqrt{1-x^2}\) at \(x=\frac{1}{2}\) isAP EAMCET 2025 Medium
More PYQs from AP EAMCET
- If a normal chord at a point \(t\) on the parabola \(y^2=4 a x\) subtends a right angle at the vertex, then \(t\) equals toAP EAMCET 2014 Hard
- The differential equation of all parabolas whose axes are parallel to \(Y\)-axis isAP EAMCET 2019 Easy
- If \(\sec \theta=m, \tan \theta=n\), then \(\frac{1}{m}\left[m+n+\frac{1}{m+n}\right]=\)AP EAMCET 2020 Easy
- In a \(\triangle A B C\), if \(\angle A=60^{\circ}\), then \(\frac{b}{c+a}+\frac{c}{a+b}=\)AP EAMCET 2022 Medium
- The number of ways of dividing 15 persons into 3 groups containing 3,5 and 7 persons so that two particular persons are not included into the 5 persons group isAP EAMCET 2025 Medium
- If the line \(2 x-3 y+5=0\) is the perpendicular bisector of the line segment joining \((1,-2)\) and \((\alpha, \beta)\), then \(\alpha+\beta=\)AP EAMCET 2024 Easy