AP EAMCET · Maths · Pair of Lines
If one of the lines \(2 x^2-x y+b y^2=0\) passes through the point \((-4,-2)\), then \(b^2=\)
- A -6
- B 36
- C 4
- D 16
Answer & Solution
Correct Answer
(B) 36
Step-by-step Solution
Detailed explanation
It is given that one of the lines \(2 x^2-x y+b y^2=0\) passes through the point \((-4,-2)\), so \(\begin{aligned} & 2(-4)^2-(-4)(-2)+b(-2)^2 =0 \\ \Rightarrow & 32-8+4 b=0 \Rightarrow b =-6 \\ \therefore & b^2= 36 \end{aligned}\) Hence, option (b) is correct.
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
- Let \(\mathrm{n} \in(0, \infty)\). If all the curves \(\mathrm{y}=\mathrm{x}^{\mathrm{n}} \log \mathrm{x}\) for distinct values of \(n\), always have \(y=x-1\) as the tangent drawn at a fixed point \((\alpha, \beta)\), then \(\alpha+\beta=\)AP EAMCET 2023 Medium
- The area of the region (in sq. units) enclosed by the curve \(y=x^3-19 x+30\) and the \(x\)-axis isAP EAMCET 2024 Easy
- The coefficient of \(x^4\) in the expansion of \(\frac{1}{(1-x)(1-2 x)(1-3 x)}\) isAP EAMCET 2019 Medium
- For \(a, b, h>0\), if the slope of one of the lines represented by \(a^2 x^2+2 h x y+b^2 y^2=0\) is twice that of the other, then the value of \(\frac{h}{a b}\) isAP EAMCET 2022 Hard
- If tangents are drawn to the ellipse at the ends of latus recta, then the area of the quadrilateral thus formed isAP EAMCET 2019 Medium
- If the slope of one line of the pair of lines \(2 x^2+h x y+6 y^2\) \(=0\) is thrice the slone of the other line, then \(\mathrm{h}=\)AP EAMCET 2024 Easy
More PYQs from AP EAMCET
- If \(\mathbf{a}, \mathbf{b}\) and \(\mathbf{c}\) be 3 non-coplanar vectors and \((\mathbf{a}-\lambda \mathbf{b}),(\mathbf{b}-2 \mathbf{c}) \times(\mathbf{c}+2 \mathbf{a})=0\), then \(\lambda\) is equal toAP EAMCET 2021 Medium
- Which of the following can form intermolecular \(\mathrm{H}\)-bond?AP EAMCET 2020 Medium
- If \(\overline{\mathrm{a}}=\overline{\mathrm{i}}+p \overline{\mathrm{j}}-3 \overline{\mathrm{k}}, \overline{\mathrm{b}}=p \overline{\mathrm{i}}-3 \overline{\mathrm{j}}+\overline{\mathrm{k}}, \overline{\mathrm{c}}=-3 \overline{\mathrm{i}}+\overline{\mathrm{j}}+2 \overline{\mathrm{k}}\) are three vectors such that \(|\overline{\mathrm{a}} \times \overline{\mathrm{b}}|=|\overline{\mathrm{a}} \times \overline{\mathrm{c}}|\), then \(\mathrm{p}=\)AP EAMCET 2025 Medium
- A body of mass \(2 \mathrm{~kg}\) is moving with a constant acceleration of \((2 \hat{i}+3 \hat{j}-\hat{k}) \mathrm{ms}^{-2}\). If the displacement made by the body is \((3 \hat{i}-\hat{j}+2 \hat{k}) \mathrm{m}\) then the work done isAP EAMCET 2023 Easy
- An object is fixed at the bottom of a vessel and water is filled in the vessel upto a height of \(10 \mathrm{~cm}\). A plane mirror is placed at a height of \(7 \mathrm{~cm}\) from the surface of water in such a way that its reflecting surface faces the water. The distance of the image from the mirror is (Refractive index of water, \(n=1.33\) )AP EAMCET 2019 Hard
- If \(\mathrm{P}\) is the set of all real numbers \(\alpha\) such that the product of the lengths of perpendiculars from \((\alpha, 1)\) to the pair of straight lines \(3 x^2+7 x y+2 y^2=0\) is \(\frac{\sqrt{2}}{5}\) then the sum of the elements in \(\mathrm{P}\) isAP EAMCET 2017 Easy