TS EAMCET · Maths · Straight Lines
Image of \(A(1,-2)\) with respect to the straight line \(L \equiv 2 x-3 y+5=0\) is \(B\). The foot of the perpendicular from \(P(-4,-1)\) on to the line joining \(A B\) is
- A \((1,-2)\)
- B \((-3,4)\)
- C \((-1,1)\)
- D \((-5,7)\)
Answer & Solution
Correct Answer
(C) \((-1,1)\)
Step-by-step Solution
Detailed explanation
\(\begin{array}{rlrl} & \text { For } B, \frac{x-1}{2} & =\frac{y+2}{-3}=\frac{-2(13)}{13} \\ & \Rightarrow & x & =-3, y=4 \\ & \therefore & B & \equiv(-3,4) \end{array}\) Equation of \(A B\) is \(y+2=\frac{4-(-2)}{-3-1}(x-1)\) \(\Rightarrow \quad 2 y+3 x=-1\) Hence, foot 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
- A line with direction cosines proportional to 2, 1, 2 meets the line \(L_1\) passing through \((0,-1,0)\) with direction ratios \(1,1,1\) at \(A(x, y, z)\) and another line \(L_2\) at \(B(1,1,1)\) then \(x+y+z=\)TS EAMCET 2020 Easy
- \(\lim _{x \rightarrow 0} \frac{\left(3^{2 x}-\sqrt{x+1}\right) \sin 5 x}{1-\cos 4 x}=\)TS EAMCET 2023 Easy
- If \(a>0\), then \(\int_{-\pi}^\pi \frac{\sin ^2 x}{1+a^x} d x\) is equal toTS EAMCET 2012 Hard
- The equation of the normal to the curve \(y^4=a x^3\) at \((a, a)\) isTS EAMCET 2008 Easy
- If the vectors \(\mathbf{a}=\hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}, \mathbf{b}=\hat{\mathbf{i}}-\hat{\mathbf{j}}+2 \hat{\mathbf{k}}\) and \(\mathrm{c}=x \hat{\mathbf{i}}+(x-2) \hat{\mathbf{j}}-\hat{\mathbf{k}}\) are coplanar, then \(x=\)TS EAMCET 2017 Medium
- By using the non-zero digits, the number of 5 digit numbers that can be formed so that each number has largest digit in its middle place and the digits in the number are different isTS EAMCET 2021 Easy
More PYQs from TS EAMCET
- The number of real solutions of \(\operatorname{Tan}^{-1} x+\operatorname{Tan}^{-1} 2 x=\frac{\pi}{4}\) isTS EAMCET 2025 Medium
- If \(p\) is an integral multiple of 4 lying in between the coefficients of \(x^4\) and \(x\) in the expansion of \(\left(x^2+\frac{1}{x}\right)^8\), then the number of such values of \(p\) isTS EAMCET 2019 Medium
- The local maximum value of the function isTS EAMCET 2022 Easy
- Among the oxides \(\mathrm{SiO}_2, \mathrm{SO}_2, \mathrm{Al}_2 \mathrm{O}_3\) and \(\mathrm{P}_2 \mathrm{O}_3\), the correct order of acidic strength isTS EAMCET 2024 Easy
- The bond enthalpies of heavy hydrogen, \(\mathrm{O}-\mathrm{O}\) and \(\mathrm{D}-\mathrm{O}\) are \(+400,+498\) and \(+490 \mathrm{~kJ} \mathrm{~mol}^{-1}\), respectively. The \(\Delta_{\mathrm{r}} \mathrm{H}^{\circ}\) of the reaction to produce \(\mathrm{D}_2 \mathrm{O}\) isTS EAMCET 2022 Medium
- The relation between the current \(i\) (in ampere) in a conductor and the time \(t\) (in second) is \(i=12 t+9 t^2\). The charge passing through the conductor between the times \(t=2 \mathrm{~s}\) and \(t=10 \mathrm{~s}\) isTS EAMCET 2024 Easy