AP EAMCET · Maths · Straight Lines
If \(P M\) is the perpendicular from \(P(2,3)\) onto the line \(x+y=3\), then the coordinates of \(M\) are
- A (2, 1)
- B (−1,4)
- C (1, 2)
- D (4, −1)
Answer & Solution
Correct Answer
(C) (1, 2)
Step-by-step Solution
Detailed explanation
Let the co-ordinates of \(M\) are \(\left(x_1, y_1\right)\). Since the line \(P M\) is \(\perp\) to the given line \(x+y=3\) \(\begin{aligned} & \therefore \quad \frac{y_1-3}{x_1-2} \times(-1)=1 \\ & \Rightarrow \quad y_1-3=x_1-2 \\ & \end{aligned}\)…
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
- The number of solutions of the equation \(\sqrt{3 x^2+x+5}=x-3\) isAP EAMCET 2025 Medium
- The equation of the locus of a point which is equidistant from the points \((2,3)\) and \((4,5)\) isAP EAMCET 2021 Easy
- Given that a throw of three unbiased dice shows different faces, what is the probability that their total is eight?AP EAMCET 2020 Easy
- If \(u+i v=\frac{3 i}{x+i y+2}\), then \(y=\)AP EAMCET 2018 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
- Let \(z=\cos \theta+i \sin \theta\). Then, the value of \(\sum_{m=1}^{15} I_m\left(z^{2 m-1}\right)\) at \(\theta=2^{\circ}\) isAP EAMCET 2021 Hard
More PYQs from AP EAMCET
- If \(\int \frac{2 \cos x+3 \sin x}{4 \cos x+5 \sin x} d x=\left(\frac{23}{41}\right) x+K \log\)
\(|4 \cos x+5 \sin x|+c\), then \(K\) is equal toAP EAMCET 2021 Hard - A particle is projected up from a point at an angle \(\theta\) with the horizontal direction. At any time \(t\), if \(p\) is the linear momentum, \(y\) is the vertical displacement, \(x\) is horizontal displacement, the graph among the following which does not represent the variation of kinetic energy KE of the particle is
AP EAMCET 2009 Hard - The numerically greatest term in the expansion of \((x+3 y)^{13}\), when \(x=\frac{1}{2}\) and \(y=\frac{1}{3}\) isAP EAMCET 2025 Medium
- If the sum and product of the mean and variance of a binomial distribution are 15 and 54 respectively, then the number of trails in it isAP EAMCET 2018 Easy
- If the work done during the isothermal reversible expansion of an ideal gas at a pressure of \(10 \mathrm{~atm}\) from \(4 \mathrm{~L}\) to a final volume is \(-184.24 \mathrm{~L}\) atm, the final volume of the gas in \(\mathrm{L}\) isAP EAMCET 2018 Medium
- An infinite line charge produces a field of \(9 \times 10^4 \mathrm{NC}^{-1}\) at a distance of \(2 \mathrm{~cm}\). The linear charge density isAP EAMCET 2023 Medium