AP EAMCET · Maths · Straight Lines
Suppose the pairs of straight lines \(x^2-2 a x y-y^2=0\) and \(x^2-2 b x y-y^2=0\) are such that each pair bisects the angles between the other two. Then \(a b=\)
- A \(1\)
- B \(-1\)
- C \(2\)
- D \(\frac{1}{2}\)
Answer & Solution
Correct Answer
(B) \(-1\)
Step-by-step Solution
Detailed explanation
Given pairs of straight lines \(x^{2-2 a x y}\) and \(x^2\) \(2 b x y-y^2=0\) bisect the angles between the other two. For \(x^2-2 a x y-y^2=0\) equation of pairs of +1 straight lines which istobe bisected will be \(x^2+2 x y-a y^2=0\) on complaining it with…
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 \(\int_0^b \frac{d x}{1+x^2}=\int_b^{\infty} \frac{d x}{1+x^2}\), then \(b\) is equal toAP EAMCET 2013 Easy
- The equation represents aAP EAMCET 2021 Medium
- The equation of the pair of lines passing through the origin whose sum and product of slopes are respectively the arithmetic mean and geometric mean of 4 and 9 isAP EAMCET 2013 Medium
- Among the options given below, from which option a differential equation of order two can be formed?AP EAMCET 2024 Easy
- \((\bar{a}+2 \bar{b}-\bar{c}) \cdot\{(\bar{a}-\bar{b}) \times(\bar{a}-\bar{b}-\bar{c})\}=\)AP EAMCET 2025 Medium
- If there are 6 alike fruits, 7 alike vegetables and 8 alike biscuits, then the number of ways of selecting any number of things out of them such that at least one from each category is selected, isAP EAMCET 2024 Easy
More PYQs from AP EAMCET
- If \(\int \frac{\sin ^3 x\left(\tan ^{-1}(\sec x+\cos x)\right)^{-1}}{\left(\cos ^4 x+3 \cos ^2 x+1\right)} d x=f(x)+C\), then \(e^{\mathrm{f}(x)}=\)AP EAMCET 2022 Hard
- A horizontal force just sufficient to move a body of mass \(4 \mathrm{~kg}\) lying on a rough horizontal surface, is applied on it. Coefficients of static and kinetic frictions are 0.8 and 0.6 respectively. If the force continues to act even after the body has started moving, the acceleration of the body is \(\left(\right.\) take, \(g=10 \mathrm{~ms}^{-2}\) ).AP EAMCET 2015 Hard
- Identify ortho and para directing groups from the following :
\(\begin{array}{cccc}-\mathrm{CHO}, & -\mathrm{NHCOCH}_3, & -\mathrm{OCH}_3, & -\mathrm{SO}_3 \mathrm{H} \\ \text { I } & \text { II } & \text { III } & \text { IV }\end{array}\)AP EAMCET 2019 Medium - A codon has a sequence of \(\underline{A}\), and specifies a particular \(\underline{B}\) that is to be incorporated into a \(\underline{C}\). What are \(\underline{A}, \underline{B}, \underline{C}\) ?
\(\underline{A} \quad \underline{B} \quad \underline{C}\)AP EAMCET 2009 Medium - The gravitational field in a region is given by equation \(\mathbf{E}=(5 \mathbf{i}+12 \mathbf{j}) \mathrm{N} / \mathrm{kg}\). If a particle of mass \(2 \mathrm{~kg}\) is moved from the origin to the point \((12 \mathrm{~m}, 5 \mathrm{~m})\) in this region, the change in gravitational potential energy isAP EAMCET 2012 Hard
- A large vessel with a small hole at the bottom is filled with water and kerosine with kerosine floating on water. The length of water column is \(20 \mathrm{~cm}\) and that of kerosine is \(25 \mathrm{~cm}\). The velocity with which water flows out of the hole is (density of kerosine \(=0.8 \mathrm{~g} \mathrm{~cm}^{-3}\), neglect viscous force).AP EAMCET 2017 Medium