TS EAMCET · Maths · Pair of Lines
If \(2 x^2-10 x y+2 \lambda y^2+5 x-16 y-3=0\) represents a pair of straight lines, then point of intersection of those lines is
- A \((2,-3)\)
- B \((5,-16)\)
- C \(\left(-10, \frac{-7}{2}\right)\)
- D \(\left(-10, \frac{-3}{2}\right)\)
Answer & Solution
Correct Answer
(C) \(\left(-10, \frac{-7}{2}\right)\)
Step-by-step Solution
Detailed explanation
On comparing the given equations with \(a x^2+2 h x y+b y^2+2 g x+2 f y+c=0\), we get \(a=2, b=2 \lambda, h=-5, g=\frac{5}{2}\), \(f=-8, c=-3\) Since, the given equations represents a pair of straight lines, therefore…
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 \(\frac{x+1}{x^4(x+2)}=\frac{A}{x}+\frac{B}{x^2}+\frac{C}{x^3}+\frac{D}{x^4}+\frac{E}{x+2}\), then \(B+D+E\) is equal toTS EAMCET 2016 Easy
- \(\lim _{x \rightarrow 0} \frac{\left(3^{2 x}-\sqrt{x+1}\right) \sin 5 x}{1-\cos 4 x}=\)TS EAMCET 2023 Easy
- Two points \(A(-a, 0)\) and \(B(a, 0)\) are given. If \(C\) is a variable point lying on one side of the line \(A B\) such that \(\angle C A B-\angle C B A=\alpha\), where \(\alpha\) is a positive constant, then locus of the point \(C\) isTS EAMCET 2019 Medium
- Let \(\mathbf{a}, \mathbf{b}, \mathbf{c}\) be three vectors such that the magnitude of \(\mathbf{b}\) is twice that of \(\mathbf{a}\) and magnitude of \(\mathbf{c}\) is three times that of \(\mathbf{a}\). If the angle between each pair of vectors is \(\frac{\pi}{3}\) and \(|a+b+c|=5\), then \(|c|+|a|+|b|=\)TS EAMCET 2020 Easy
- \(\left|\begin{array}{ccc}\sqrt{3} & 2 \sqrt{5} & \sqrt{5} \\ \sqrt{15} & 5 & \sqrt{10} \\ 3 & \sqrt{15} & 5\end{array}\right|=\)TS EAMCET 2023 Easy
- If \(\alpha_1, \alpha_2\) are the roots of \(x^2+a x+1=0\) and \(\alpha_3, \alpha_4\) are the roots of \(x^2+b x+1=0\), then \(\left(\alpha_1+\alpha_3\right)\left(\alpha_2+\alpha_3\right)\left(\alpha_1+\alpha_4\right)\left(\alpha_2+\alpha_4\right)=\)TS EAMCET 2019 Easy
More PYQs from TS EAMCET
- If and thenTS EAMCET 2021 Easy
- If \(y=a e^x+b e^{-x}+c\), where \(a, b, c\) are parameters, then \(y^{\prime \prime \prime}\) is equal toTS EAMCET 2002 Medium
- Three persons A, B and C attended a recruitment test. The ratio of the chances of \(A, B, C\) in getting through the test \(1: 2: 3\) and their probabilities to face the interview successfully are \(0.8,0.7,0.6\) respectively. If one of them is to be selected for the post, then the probability that \(\mathrm{A}\) gets the post isTS EAMCET 2023 Medium
- Which of the following elements has the highest work function value?TS EAMCET 2021 Medium
- If the roots of the equation, \(8 x^3+6 p x^2+3 q x-27=0\) are in a geometric progression, then \(q^2+9 p^2+6 p q+q / p=\)TS EAMCET 2020 Easy
- Three rods of equal lengths are joined to form an equilateral triangle \(A B C . D\) is the mid-point of \(A B\). The coefficient of linear expansion is \(\alpha_1\) for material of rod \(A B\) and \(\alpha_2\) for material of rods \(A C\) and \(B C\). If the distance \(D C\) remains constant for small changes in temperature, thenTS EAMCET 2010 Hard