AP EAMCET · Maths · Straight Lines
A person standing at the junction (crossing) of 2 straight paths represented by the equations 2x − 3y + 4 = 0 and 3x + 4 y − 5 = 0, wants to reach the path whose equation is 6 x − 7 y + 8 = 0 in the least time, then the equation of the path he should follow is
- A 119x − 102 y − 125 = 0
- B 119x + 102 y − 125 = 0
- C 102 x + 119y − 125 = 0
- D 102 x − 119y + 125 = 0
Answer & Solution
Correct Answer
(B) 119x + 102 y − 125 = 0
Step-by-step Solution
Detailed explanation
Given, a person is standing at the junction of the lines, 2x − 3y + 4 = 0 … (i) 3x + 4y − 5 = 0 … (ii) Solution of Eqs. (i) and (ii) will be the junction point, where the man is standing. On solving Eqs. (i) and (ii), \(x=\frac{-1}{17}\) and \(y=\frac{22}{17}\) \(\therefore\)…
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
- \(\left\{x \in R: \frac{14 x}{x+1}-\frac{9 x-30}{x-4} < 0\right\}\) is equal toAP EAMCET 2010 Easy
- If \(1, \omega, \omega^2\) are the cube roots of unity, then the roots of the equation \(8 z^3-12 z^2+6 z-28=0\) areAP EAMCET 2023 Hard
- The lines \(p\left(p^2+1\right) x-y+q=0\) and \(\left(p^2+1\right)^2 x+\left(p^2+1\right)\) \(y+2 q=0\) are perpendicular to a line \(L\) forAP EAMCET 2023 Hard
- If \(A\) and \(B\) are \(n \times n\) square matrices such that \((2 A+B)^2+(A-3 B)^2=5 A^2-2 A B+10 B^2\), then \(A B A B=\)AP EAMCET 2022 Medium
- If the point of contact of the circles \(x^2+y^2-6 x-4 y+9=0\) and \(x^2+y^2+2 x+2 y-7=0\) is \((\alpha, \beta)\), then \(7 \beta=\)AP EAMCET 2025 Medium
- If the plane \(3 x-2 y-z-18=0\) meets the coordinate axes in \(A, B, C\) then the centroid of \(\triangle A B C\) isAP EAMCET 2004 Medium
More PYQs from AP EAMCET
- Which of the following generates a plane wavefront?AP EAMCET 2020 Easy
- If \(x>0, y>0, z>0, x y+y z+z x < 1\) and if \(\tan ^{-1} x+\tan ^{-1} y+\tan ^{-1} z=\pi\), then \(x+y+z\) equals toAP EAMCET 2014 Medium
- \(\int_0^\pi \frac{x \sin x}{\sin ^2 x+2 \cos ^2 x} d x=\)AP EAMCET 2025 Medium
- A body takes 10 minutes to cool from \(60^{\circ} \mathrm{C}\) to \(50^{\circ} \mathrm{C}\). The temperature of same body after next 10 minutes will be (If the temperature of surroundings is \(25^{\circ} \mathrm{C}\) )AP EAMCET 2020 Hard
- In which of the following reactions hydrogen is not liberated?AP EAMCET 2011 Medium
- The average power generated by a 90 kg mountain climber who climbs a summit of height 600 m in 90 minutes is \(\left(\right.\) Acceleration due to gravity \(\left.=10 \mathrm{~ms}^{-2}\right)\).AP EAMCET 2024 Easy