AP EAMCET · Maths · Straight Lines
If the coordinates of a point \(P\) changes to \((2,-6)\) when the coordinate axes are rotated through an angle of \(135^{\circ}\), then the coordinates of \(P\) in the original system are
- A \((-2,6)\)
- B \((-62)\)
- C \((2 \sqrt{2}, 4 \sqrt{2})\)
- D \((\sqrt{2},-\sqrt{2})\)
Answer & Solution
Correct Answer
(C) \((2 \sqrt{2}, 4 \sqrt{2})\)
Step-by-step Solution
Detailed explanation
If \((x, y)\) is old coordinates and \((X, Y)\) are new coordinates, when axes are rotated through an angle of \(\theta\), then…
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
- There are 8 boys and 7 girls in a class room. If the names of all those children are written on paper slips and 3 slips are drawn at random from them, then the probability of getting the names of one boy and two girls or one girl and two boys isAP EAMCET 2025 Medium
- If the lines given by \(\left(x^2+y^2\right) \sin ^2 \alpha=(x \cos \alpha-y \sin \alpha)^2\) are perpendicular to each other, then \(\sin ^2 \alpha+\tan ^2 \alpha=\)AP EAMCET 2023 Hard
- \(\sin ^2 76^{\circ}+\sin ^2 16^{\circ}-\sin 76^{\circ} \sin 16^{\circ}=\)AP EAMCET 2024 Easy
- The probability that an event does not happen in one trial is 0.8 The probability that the event happens atmost once in three trials isAP EAMCET 2015 Medium
- If \(f(x)\) is differentiable on \(\mathbb{R}, f(x) f^{\prime}(-x)-f(-x) f^{\prime}(x)=0\), \(f(x) f^{\prime}(-x)=0, f(0)=3\) and \(f(3)=9\), then \((1+f(-3))^3+1=\)AP EAMCET 2023 Medium
- The triangle formed by the lines \(2 x^2+x y-6 y^2=0\) and \(x+y-1=0\) isAP EAMCET 2025 Medium
More PYQs from AP EAMCET
- When \(\mathrm{A}=0\) and \(\mathrm{B}=1\), the output is 0 forAP EAMCET 2023 Easy
- The equation of the circle which passes through the origin and cuts orthogonally each of the circles \(x^2+y^2-6 x+8=0\) and \(x^2+y^2-2 x-2 y=7\) isAP EAMCET 2009 Medium
- If a point \((\alpha, \beta)\) of \(3 x+y=0\) and \((3,4)\) lie on the opposite sides of \(3 x-4 y-8=0\) then which of the following is correct?AP EAMCET 2022 Easy
- The solubility product of a sparingly soluble salt \(A_2 B\) is \(3.2 \times 10^{-11}\). Its solubility in \(\mathrm{mol} \mathrm{L}^{-1}\) isAP EAMCET 2019 Easy
- A ball of mass \(1 \mathrm{~g}\) having a charge of \(20 \mu \mathrm{C}\) is tied to one end of a string of length \(0.9 \mathrm{~m}\) can rotate in a vertical plane in a uniform electric field \(100 \mathrm{NC}^{-1}\) directed upwards. The minimum horizontal velocity that must be given to the ball at the lowest position so
that it completes the vertical circle is (Let, \(\mathrm{g}=10 \mathrm{~ms}^{-2}\))AP EAMCET 2019 Hard - The reaction, \(\mathrm{N}_2(g)+3 \mathrm{H}_2(g) \rightleftharpoons 2 \mathrm{NH}_3(g)\) is exothermic and reversible. A mixture of \(\mathrm{N}_2(g), \mathrm{H}_2(g)\) and \(\mathrm{NH}_3(g)\) is at equilibrium in a closed container. When a certain quantity of extra \(\mathrm{H}_2(g)\) is introduced into the container, while keeping the volume constant, then which statement among the following is true?AP EAMCET 2021 Medium