AP EAMCET · Maths · Pair of Lines
The product of the lengths of the perpendiculars drawn from the point \((-1,5)\) to the pair of lines \(2 x^2-x y-3 y^2+6 x+y+4=0\) is
- A \(\frac{68}{\sqrt{2}}\)
- B \(\frac{68}{\sqrt{26}}\)
- C \(\frac{65}{\sqrt{2}}\)
- D \(\frac{65}{\sqrt{26}}\)
Answer & Solution
Correct Answer
(D) \(\frac{65}{\sqrt{26}}\)
Step-by-step Solution
Detailed explanation
The pair of straight line…
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 the lines joining the origin to the points of intersection of a line \(\mathrm{L}\) and \(\mathrm{x}^2+\mathrm{y}^2=4\) are the coordinate axes, then the equation of the line \(\mathrm{L}\) isAP EAMCET 2023 Easy
- The length of the tangent drawn to the circle \(x^2+y^2-2 x+4 y-11=0\) from the point \((1,3)\) is :AP EAMCET 2006 Easy
- If is a tangent drawn to the curve at where are constants, thenAP EAMCET 2019 Easy
- If \(z\) is a complex number, then curves \(|z|=1\), \(|z-2|=1\) and \(|z-1|=0\) have a common point atAP EAMCET 2021 Medium
- If the general solution of \(\frac{d y}{d x}=\frac{y^2}{x y-y^2-x^2}\) is \(\tan ^{-1}\left(\frac{y}{x}\right)=f(y)+C\), then \(f\left(e^3\right)=\)AP EAMCET 2022 Medium
- If \(\alpha, \beta, \gamma(\alpha \lt \beta \lt \gamma)\) are the values of \(x\) such that \(\left[\begin{array}{ccc}x-2 & 0 & 1 \\ 1 & x+3 & 2 \\ 2 & 0 & 2 x-1\end{array}\right]\) is a singular matrix then \(2 \alpha+3 \beta+4 \gamma=\)AP EAMCET 2024 Easy
More PYQs from AP EAMCET
- If the ratio of the maximum and minimum amplitudes of an amplitude modulated wave is \(7: 3\), then the modulation index isAP EAMCET 2025 Easy
- Relative stability orders of \(+1,+3\) oxidation states of \(\mathrm{Ga}\), In, \(\mathrm{T} 1\) are respectivelyAP EAMCET 2023 Easy
- Let be the centroid of the triangle with vertices and Let be the point of intersection of the lines and Then the line passing through the points and also passes through the pointAP EAMCET 2021 Medium
- For the value of \(\frac{2 \tan (x)}{1-\tan ^2(x)}\) to be positive, find values of \(x\), such that \(x \in\left(0, \frac{\pi}{2}\right)\)AP EAMCET 2020 Easy
- Statement (S1): \(\sin 55^{\circ}+\sin 53^{\circ}-\sin 19^{\circ}-\sin 17^{\circ}=\) \(\cos 2^{\circ}\).
Statement (S2): Range of \(\frac{1}{3-\cos 2 x}\) is \(\left[\frac{1}{4}, \frac{1}{2}\right]\)
Which one of the following is correct?AP EAMCET 2024 Hard - If \(\cos \theta, \sin \theta\) and \(\cot \theta\) are in geometric progression, then \(\sin ^9 \theta+\sin ^6 \theta+3 \sin ^5 \theta+\sin ^3 \theta+\sin ^2 \theta=\)AP EAMCET 2023 Easy