AP EAMCET · Maths · Pair of Lines
The value of '' for which the equation represents a pair of straight lines, is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
Given equation x2+pxy+y2-5x-7y+6=0 Will represent a pair of straight lines, if ∆=0 ⇒1⋅1⋅6+2-72-52p2-1-722-1-522-6p22=0 ⇒ 6+35p4-494-254-6p24=0 ⇒ 35p-50-6p2=0 ⇒ 2p-53p-10=0 ⇒ p=52,103
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
- \(\int \frac{2 x^2-1+x^2 \sqrt{x^2+4}}{x^2\left(x^2+4\right)} d x=\)AP EAMCET 2018 Hard
- A polygon has 54 diagonals. Then, the number of its sides isAP EAMCET 2010 Easy
- If the latus rectum of a hyperbola through one focus subtends an angle \(60^{\circ}\) at the other focus, then its eccentricity isAP EAMCET 2020 Medium
- A farmer owns a triangular plot in Guntur. He measures the lengths of the sides of his property as \(4 \mathrm{~cm} .5 \mathrm{~cm}\) and \(7 \mathrm{~cm}\). Then the area of land of the farmer in sq. \(\mathrm{cm}\) isAP EAMCET 2022 Easy
- If two of the lines represented by \(2 x^3+x^2 y+y^3=0\) are mutually perpendicular, then the slope of the third line isAP EAMCET 2017 Easy
- Let the equation \(\mathrm{ax}^2+2 \mathrm{hxy}+\mathrm{by}^2+2 \mathrm{gx}+2 \mathrm{fy}+\mathrm{c}=0\) represent a point circle other than the origin. Then which one of the following conditions must hold?AP EAMCET 2023 Easy
More PYQs from AP EAMCET
- The system of equations \(x+2 y=3\) and \(3 x+6 y=a-2\) has no solutionAP EAMCET 2021 Easy
- If \(\alpha, \beta\) and \(\gamma\) are the roots of the equation \(x^3-a^2+b x-c\) \(=0\) then, \(\alpha^{-2}+\beta^{-2}+\gamma^{-2}=\)AP EAMCET 2023 Medium
- Which of the following is NOT correctly matched?AP EAMCET 2024 Medium
- If the arithmetic mean of the following frequency table is 50 , then
\begin{array}{|c|c|}
\hline Class & Frequency \\
\hline 0-20 & 17 \\
20-40 & f_1 \\
40-60 & 32 \\
60-80 & f_2 \\
80-100 & 19 \\
\hline & \mathbf{1 2 0} \\
\hline
\end{array}AP EAMCET 2020 Easy - The number of natural numbers less than 1000 , in which no two digits are repeated, is :AP EAMCET 2006 Medium
- The product of lengths of the perpendiculars drawn from the point to the pair of lines isAP EAMCET 2018 Medium