AP EAMCET · Maths · Straight Lines
A point \(P(x, y)\) is such that the sum of squares of its distances from the co-ordinate axes is equal to the square of its distance
from the line \(x-y=1\). Then the equation of the locus of \(P\) is
- A \(x^2+y^2-2 x y-2 x-2 y-1=0\)
- B ) \(x^2+y^2+2 x y+2 x+2 y+1=0\)
- C \(x^2+y^2+2 x y+2 x-2 y-1=0\)
- D \(x^2+y^2-2 x y+2 x-2 y+1=0\)
Answer & Solution
Correct Answer
(C) \(x^2+y^2+2 x y+2 x-2 y-1=0\)
Step-by-step Solution
Detailed explanation
It is given that the sum of squares of distance of point \(P(x, y)\) is equal to the square of its distance from the line \(x-y=1\), so…
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 distance of the plane \(2 x-y-2 z-9=0\) from the origin is units.AP EAMCET 2020 Easy
- The normal drawn at \(P(-1,2)\) on the circle \(x^2+y^2-2 x-2 y-3=0\) meets the circle at another point \(Q\). Then, the coordinates of \(Q\) areAP EAMCET 2016 Medium
- If the points \((1,2)\) and \((3,4)\) lie on the same side of the straight line \(3 x-5 y+a=0\), then \(a\) lies in the setAP EAMCET 2013 Medium
- In a \(\triangle A B C\), if \(a=4, b=5\) and \(c=7\), then
\[
\sin \left(\frac{A}{2}\right)=
\]AP EAMCET 2022 Easy - If \(x=\frac{3}{4 \cdot 8}+\frac{3 \cdot 5}{4 \cdot 8 \cdot 12}+\frac{3 \cdot 5 \cdot 7}{4 \cdot 8 \cdot 12 \cdot 16}+\ldots\), then \(2 x^2+5 x=\)AP EAMCET 2018 Hard
- If \(\left|\begin{array}{ccc}\cos (A+B) & -\sin (A+B) & \cos 2 B \\ \sin A & \cos A & \sin B \\ -\cos A & \sin A & \cos B\end{array}\right|=0\)
then \(B\) is equal toAP EAMCET 2003 Medium
More PYQs from AP EAMCET
- The derivative of \(e^{3 x} \sin 4 x\) with respect to \(x\), isAP EAMCET 2017 Easy
- In thin layer chromatography, a substance moved by a distance of \(4 \mathrm{~cm}\), where as the solvent moved by a distance of \(5 \mathrm{~cm}\). Then the value of retardation factor \(\left(R_f\right)\) isAP EAMCET 2021 Easy
- If a complex number \(z\) satisfies
\(|z|^2+1=\mid z^2-1\), then the locus of \(z\) isAP EAMCET 2018 Easy - The angle between the lines represented by isAP EAMCET 2021 Medium
- If the ends of the hypotenuse of a right angled triangle are \((0, a)\) and \((a, 0)\) then the locus of the third vertex isAP EAMCET 2023 Easy
- A problem is given to 3 students \(A, B\) and \(C\) whose chances of solving it are \(\frac{1}{2}, \frac{1}{3}\) and \(\frac{1}{4}\) respectively. Then, the probability of the problem being solved by exactly one of them, if all the three try independently, isAP EAMCET 2018 Easy