AP EAMCET · Maths · Pair of Lines
The value of \(\lambda\) with \(|\lambda| < 16\) such that \(2 x^2-10 x y+12 y^2+5 x+\lambda y-3=0\) represents a pair of straight lines, is
- A -10
- B -9
- C 10
- D 9
Answer & Solution
Correct Answer
(B) -9
Step-by-step Solution
Detailed explanation
Given equation is \(2 x^2-10 x y+12 y^2+5 x+\lambda y-3=0\) Here, \(a=2, h=-5, b=12, g=\frac{5}{2}, f=\frac{\lambda}{2}, c=-3\) For pair of lines \(\left|\begin{array}{lll}a & h & g \\ h & b & f \\ g & f & c\end{array}\right|=0\)…
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 \(A=\left[\begin{array}{ccc}\cos \alpha & -\sin \alpha & 0 \\ \sin \alpha & \cos \alpha & 0 \\ 0 & 0 & 1\end{array}\right]\), then \((\operatorname{Adj} A)^{-1}=\)AP EAMCET 2019 Medium
- If \(\overrightarrow{\mathrm{a}}=2 \hat{\mathrm{i}}-\hat{\mathrm{j}}-2 \hat{\mathrm{k}}\) and \(\overrightarrow{\mathrm{b}}=6 \hat{\mathrm{i}}+2 \hat{\mathrm{j}}-3 \hat{\mathrm{k}}\) are two vectors such that \(\vec{a} \cdot \vec{b}\) is minimum, then \(t=\)AP EAMCET 2023 Easy
- The solution of \(\left(1+y^2\right) d x-x y d y=0, y(1)=0\) represents a conic. Its eccentricity isAP EAMCET 2022 Medium
- An unbiased coin is tossed to get 2 points for turning up a head and one point for the tail. If three unbiased coins are tossed simultaneously, then the probability of getting a total of odd number of points isAP EAMCET 2004 Medium
- If \(z=(1-i)^3(x+i)\) is a purely imaginary number for \(x=x_1\) and if \(\mathrm{z}\) is a purely real number for \(\mathrm{x}=\mathrm{x}_2\), then \(\mathrm{x}_1 \mathrm{x}_2=\)AP EAMCET 2023 Easy
- If \(\alpha+\beta+\gamma=2 \theta\), then \(\cos \theta+\cos (\theta-\alpha)\) \(+\cos (\theta-\beta)+\cos (\theta-\gamma)\) is equal toAP EAMCET 2008 Medium
More PYQs from AP EAMCET
- The area (in sq units) of the quardilateral formed by the lines \(2 x+3 y+6=0\), \(2 x-3 y+6=0,2 x+3 y-6=0\) and \(2 x-3 y-6=0\) isAP EAMCET 2018 Easy
- If all the letters of the word 'SENSELESSNESS' are arranged in all possible ways and an arrangement among them is chosen at random then, the probability that all the E's come together in that arrangement isAP EAMCET 2024 Easy
- A body is projected with a velocity greater than orbital velocity but less than escape velocity. Its path isAP EAMCET 2020 Easy
- A charge \(q\) is spread uniformly over an isolated ring of radius \(R\). The ring is rotated about its natural axis with an angular velocity \(\omega\). Magnetic dipole moment of the ring isAP EAMCET 2016 Easy
- If \(P(\sin \alpha, \cos \alpha)\) lies inside the triangle formed by the vertices \((0,0),\left(\sqrt{\frac{3}{2}}, 0\right)\) and \(\left(0, \sqrt{\frac{3}{2}}\right)\), then \(\alpha\) lies in the intervalAP EAMCET 2022 Easy
- If \(\mathbf{a}=x^2 \hat{\mathbf{i}}+x \hat{\mathbf{j}}+3 \hat{\mathbf{k}}\) and \(\mathbf{b}=x \hat{\mathbf{i}}-4 \hat{\mathbf{j}}+2 \hat{\mathbf{k}}\) and \(\mathbf{a} \cdot \mathbf{b}>6\) thenAP EAMCET 2021 Easy