AP EAMCET · Maths · Straight Lines
If one of the lines in the pair of straight line given by \(4 x^2+6 x y+k y^2=0\) bisects the angle between the coordinate axes, then \(k \in\)
- A \(\{-2,-10\}\)
- B \(\{-2,10\}\)
- C \(\{-10,2\}\)
- D \(\{2,10\}\)
Answer & Solution
Correct Answer
(C) \(\{-10,2\}\)
Step-by-step Solution
Detailed explanation
Since, one of the lines represented by \(a x^2+2 h x y+k y^2=0 \quad\) bisect the angle between the axes therefore its equation is \(y=x\). Since, \(y=x\) satisfies \(a x^2+2 h x y+b y^2=0\), therefore \(a x^2+2 h x^2+b x^2=0\) Now for equation \(4 x^2+6 x y+k y^2=0\) Here,…
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
- A family of curves has the differential equation \(x y \frac{d y}{d x}=2 y^2-x^2\). Then, the family of curves isAP EAMCET 2010 Medium
- For a random variable \(X\) if \(P(X=k)=\frac{(k+1) a}{3^k}\) for \(k=0,1,2, \ldots\) then \(a=\)AP EAMCET 2017 Medium
- In \(\triangle \mathrm{ABC}\), if \(\angle \mathrm{A}=90^{\circ}\), then \(\left(\mathrm{r}_2-\mathrm{r}_1\right)\left(\mathrm{r}_3-\mathrm{r}_1\right)=\)AP EAMCET 2023 Hard
- In the interval \([-2,4]\), the absolute maximum of \(f(x)=2 x^3-3 x^2-12 x+5\) occurs \(x=\)AP EAMCET 2019 Easy
- For \(m > 1, n > 1\), the value of \(c\) for which the Rolle's theorem is applicable for the function \(f(x)=x^{2 m-1}(a-x)^{2 n}\) in \((0, a)\) isAP EAMCET 2019 Hard
- If \(a, b\) and \(n\) are natural numbers, then \(a^{2 n-1}+b^{2 n-1}\) is divisible byAP EAMCET 2011 Medium
More PYQs from AP EAMCET
- Let \(A\) and \(B\) be two events with \(P(A)=\frac{1}{7}\), \(P\left(\frac{A}{B}\right)=\frac{2}{3}\) and \(P(B)=\frac{2}{7}\). Then, the value \(P\left(\frac{B}{A}\right)\) isAP EAMCET 2021 Easy
- 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
- AP EAMCET 2022 Hard
- The length of a metal wire is \(l_1\) when the tension in it is \(F_1\) and \(l_2\) when the tension is \(F_2\). Then, original length of the wire isAP EAMCET 2015 Easy
- An oxide of chlorine with water gives the strongest acid. The ratio of chlorine and oxygen in its formula isAP EAMCET 2023 Medium
- The minimum deviation produced by a hollow prism filled with a certain liquid is found to be \(30^{\circ}\). The light ray is also found to be refracted at an angle of \(30^{\circ}\). Then the refractive index of the liquid isAP EAMCET 2024 Medium