AP EAMCET · Maths · Pair of Lines
The number of values of for which the pair of lines represented by are at right angles to each other, is
- A
- B
- C infinitely many
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
The pair of the lines represented by the given equation will be perpendicular to each other, when Coefficient of x2+ coefficient of y2=0 3a+a2-2=0 On solving the above quadratic equation, a=-3±172 There are two values.
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
- The least distance from origin to a point on the line which lies at a distance of units from isAP EAMCET 2022 Easy
- The modulus of the complex number \(\left(\frac{2+i \sqrt{5}}{2-i \sqrt{5}}\right)^{10}+\left(\frac{2-i \sqrt{5}}{2+i \sqrt{5}}\right)^{10}\) isAP EAMCET 2020 Medium
- Consider the tetrahedron with the vertices \(\mathrm{A}(3,2,4)\), \(\mathrm{B}\left(x_1, y_1, 0\right), \mathrm{C}\left(x_2, y_2, 0\right), \mathrm{D}\left(x_3, y_3, 0\right)\). If the triangle BCD is formed by the lines \(y=x, x+y=6\) and \(\mathrm{y}=1\), then the centroid of the tetrahedron isAP EAMCET 2024 Medium
- Let and . If and makes an angle of with the -axis thenAP EAMCET 2022 Easy
- The points of intersection of the perpendicular tangents drawn to the ellipse lie on the curveAP EAMCET 2018 Easy
- If \(f(x)=5 \cos ^3 x-3 \sin ^2 x\) and \(g(x)=4 \sin ^3 x+\cos ^2 x\), then the derivative of \(f(x)\) with respect to \(g(x)\) isAP EAMCET 2024 Easy
More PYQs from AP EAMCET
- Consider the following.
Statement-I : Gold sol is prepared by Bredig's arc method.
Statement-II : Bredig's arc method involves only dispersion but not condensation.
The correct answer isAP EAMCET 2025 Medium - A wire of length 10 m carrying current of 1 A is bent in to a circular loop. If a magnetic field of \(2 \pi \times 10^{-4} \mathrm{~T}\) is applied on the loop, then the maximum torque acting on it isAP EAMCET 2025 Medium
- The product of the perpendicular distances from \((1,-1)\) to the pair of lines \(x^2-4 x y+y^2=0\), isAP EAMCET 2018 Easy
- If \(y=y(x)\) is a particular solution of \(\sqrt{1-x^2} \frac{d y}{d x}+\frac{2 x}{\sqrt{1-x^2}}\) \(y=x, y(0)=1\), then \(y\left(\frac{1}{2}\right)=\)AP EAMCET 2023 Medium
- \(\mathrm{a}, \mathrm{b}, \mathrm{c}, \mathrm{d}\) are electromagnetic radiations. Frequencies of \(\mathrm{a}, \mathrm{b}\) are \(3 \times 10^{15} \mathrm{~Hz}\), \(2 \times 10^{14} \mathrm{~Hz}\), respectively, whereas wavelength of c, d are \(400 \mathrm{~nm}, 750 \mathrm{~nm}\), respectively. The increasing order of their energies isAP EAMCET 2025 Medium
- A block of mass \(100 \mathrm{~g}\) is connected to an elastic spring of spring constant \(450 \mathrm{Nm}^{-1}\) oscillates vertically. The block-spring system is in viscous surrounding medium with a damping constant \(69.3 \mathrm{~g} \mathrm{~s}^{-1}\). The time in which the amplitude of oscillations drop to half of its initial value.
(take, \(\ln 2=0.693)\)AP EAMCET 2022 Easy