AP EAMCET · Maths · Pair of Lines
If represents a pair of perpendicular lines, then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
lx2+3xy-2y2-5x+5y+k=0 if lines are perpendicular then, l-2=0 ⇒l=2 2x2+3xy-2y2-5x+5y+k=0 it represents a pair of lines a=2, b=-2, c=k h=32, f=52, g=-52 abc+2fgh-af2-bg2-ch2=0 ⇒-4k-754-504+2x254-9k4=0 ⇒25k=-75 ⇒k=-3
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
- \(\int\left\{\frac{x}{a}+\frac{b}{x}+x^a+b^x+a b\right\} d x\) is equal toAP EAMCET 2021 Medium
- The solution of the equation \(2 x^3-x^2-22 x-24=0\), when two of the roots are in the ratio \(3: 4\) isAP EAMCET 2021 Medium
- The equation of the transverse axis of hyperbola \((x-3)^2+(y+1)^2=(4 x+3 y)^2\) isAP EAMCET 2020 Medium
- If the function \(f(x)=\sqrt{x^2-4}\) satisfies the Lagrange's mean value theorem on \([2,4]\), then the value of C isAP EAMCET 2024 Easy
- \(\int_0^\pi x \sin ^3 x \cos ^2 x d x=\)AP EAMCET 2023 Easy
- If two cards are drawn randomly from a pack of 52 playing cards, then the mean of the probability distribution of number of kings isAP EAMCET 2024 Easy
More PYQs from AP EAMCET
- If \(\int \frac{d x}{1+\sin x}=\tan \left(\frac{x}{2}-\theta\right)+C\), then \(\theta=\)AP EAMCET 2023 Easy
- The angle between the lines \(a b\left(x^2-y^2\right)+\left(a^2-b^2\right) x y=0\) isAP EAMCET 2021 Easy
- If the roots of the equation \(4 x^3-12 x^2+11 x+k=0\) are in arithmetic progression, then \(k\) is equal toAP EAMCET 2004 Easy
- A hydraulic lift is shown in the figure. The movable pistons \(A, B\) and \(C\) are of radius \(10 \mathrm{~cm}, 100 \mathrm{~m}\) and \(5 \mathrm{~cm}\) respectively. If a body. of mass \(2 \mathrm{~kg}\) is placed on piston \(A\), the maximum masses that can be lifted by piston \(B\) and \(C\) are respectively.
AP EAMCET 2022 Medium - At \(298 \mathrm{~K}, \Delta_r \mathrm{U}^{\ominus}\) and \(\Delta_r \mathrm{~S}^{\ominus}\) for the following reaction are -10.5 kJ and \(+44.1 \mathrm{JK}^{-1} ; 2 \mathrm{X}(\mathrm{~g})+\mathrm{Y}(\mathrm{~g}) \longrightarrow 2 \mathrm{Z}(\mathrm{~g})\)
What is \(\Delta_r \mathrm{G}^{\ominus}\) (in kJ ) for this reaction ? \(\left(\mathrm{R}=8.314 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}\right)\)AP EAMCET 2025 Medium - A radioactive element \(X\) converts into another stable element \(Y\). Half life of \(X\) is 2 hours. Initially only \(X\) is present. After a time \(t\), if the ratio of atoms of \(X\) to \(Y\) is \(1: 4\), then the value of \(t\) isAP EAMCET 2018 Medium