AP EAMCET · Maths · Straight Lines
The image of the point \((3,8)\) in the line \(x+3 y=7\) is
- A (1, 4)
- B (4, 1)
- C (-1,-4)
- D (-4,-1)
Answer & Solution
Correct Answer
(C) (-1,-4)
Step-by-step Solution
Detailed explanation
The equation of perpendicular line on \(x+3 y=7\) is \(3 x-y+\lambda=0\). Since, it is passes through \((3,8)\). \(\begin{aligned} & \therefore \quad 9-8+\lambda=0 \\ & \Rightarrow \quad \lambda=-1 \\ & \therefore \quad 3 x-y-1=0 \\ & \end{aligned}\) The point of intersection of…
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 \(u=\sin \left(\frac{x}{y}\right), x=e^t\) and \(y=t^2\), then\(t^6\left(\frac{d u}{d t}\right)^2 \div e^{2 t}(t-2)^2=\)AP EAMCET 2023 Hard
- \(f(x)\) is a quadratic polynomial satisfying the condition \(f(x)+f\left(\frac{1}{x}\right)=f(x) f\left(\frac{1}{x}\right)\). If \(f(-1)=0\), then the range of \(f\) isAP EAMCET 2025 Medium
- If \(I(x)=\int x^2(\log x)^2 d x\) and \(I(I)=0\), then \(I(x)\)AP EAMCET 2019 Medium
- \(\bar{x}\) and \(\bar{y}\) are the arithmetic means of the runs of two batsmen A and B in 10 innings respectively and \(\sigma_{\mathrm{A}}, \sigma_{\mathrm{B}}\) are the standard deviations of their runs in them. If batsman A is more consistent than B , then he is also a higher run scorer only whenAP EAMCET 2024 Easy
- The ratio in which the plane divides the line joining and isAP EAMCET 2021 Easy
- \(\pi\) is a plane passing through the origin and containing two lines whose direction ratios are \(1,-2,2\) and 2, 3, -1 then direction ratios of the line of intersection of the planes \(x-y-z+1=0\) and \(\pi\) areAP EAMCET 2018 Hard
More PYQs from AP EAMCET
- If \(n\) is a positive integer, then \(2 \cdot 4^{2 n+1}+3^{3 n+1}\) is divisible byAP EAMCET 2021 Easy
- If \((1+x)^n=\sum_{r=0}^n C_r x^r\), then the value of \(C_0+\left(C_0+C_1\right)+\left(C_0+C_1+C_2\right)+\ldots+\) \(\left(\mathrm{C}_0+\mathrm{C}_1+\mathrm{C}_2+\ldots+\mathrm{C}_{\mathrm{n}}\right)\) isAP EAMCET 2025 Medium
- If \({ }^{n-3} C_r+B^{n-3} C_{r-1}+B^{\prime n-3} C_{r-2}+{ }^{n-3} C_{r-3}\) \(={ }^n C_r\) holds. for all \(n \geq r \geq 3\), then \(\left(B \cdot B^{\prime}\right)=\).AP EAMCET 2022 Hard
- If the line \(p x-q y=r\) intersects the coordinate axes at \((a, 0)\) and \((0, b)\), then the value of \((a+b)\) is equal toAP EAMCET 2021 Easy
- Isothermal process has non-linear graph between:AP EAMCET 2021 Easy
- \(\begin{aligned}
& \text { If } \frac{x+2}{\left(x^2+3\right)\left(x^4+x^2\right)\left(x^2+2\right)}=\frac{A x+B}{x^2+3}+\frac{C x+D}{x^2+2}+ \\
& \frac{E x^3+F x^2+G x+H}{x^4+x^2} \text { then (E + F) (C + D) (A) }=
\end{aligned}\)AP EAMCET 2024 Hard