AP EAMCET · Maths · Pair of Lines
Suppose \(A\) and \(B\) are the points at which the line \(x+y-\lambda=0\) meets the pair of straight lines \(x^2+y^2-2 x-4 y+2=0\). If \(\angle A O B=90^{\circ}\), then a value of \(\lambda\) is
- A \(2\)
- B \(3\)
- C \(4\)
- D \(0\)
Answer & Solution
Correct Answer
(A) \(2\)
Step-by-step Solution
Detailed explanation
Given, line is \(x+y-\lambda=0\) \(\Rightarrow \quad x+y=\lambda\) \(\Rightarrow \quad \frac{x+y}{\lambda}=1\)...(i) and pair of straight lines is \(x^2+y^2-2 x-4 y+2=0\) We will make homogeneous of the above line. \(x^2+y^2-2 x(\mathrm{l})-4 y(\mathrm{l})+2(\mathrm{l})^2=0\)…
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 two subsets \(\mathrm{A}\) and \(\mathrm{B}\) are selected at random from a set \(\mathrm{S}\) containing \(\mathrm{n}\) elements, then the probability that \(\mathrm{A} \cap \mathrm{B}\) \(=\phi\) and \(\mathrm{A} \cup \mathrm{B}=\mathrm{S}\), isAP EAMCET 2023 Medium
- The equation of the plane which is bisecting the line segment joining the points \(\mathrm{A}(2,3,4)\), \(\mathrm{B}(-4,1,-2)\) and is perpendicular to it, isAP EAMCET 2017 Medium
- \[
\left[\sqrt{2}\left(\cos 56^{\circ} 15^{\prime}+i \sin 56^{\circ} 15^{\prime}\right)\right]^8=
\]AP EAMCET 2023 Easy - Assertion (A) Order of the differential equations of a family of circles with constant radius is two.
Reason (R) An algebraic equation having two arbitrary constants is general solution of a second order differential equation.AP EAMCET 2022 Easy - The number of solutions of the trigonometric equation \(1+\cos x \cdot \cos 5 x=\sin ^2 x\) in \([0,2 \pi]\) isAP EAMCET 2017 Medium
- In a triangle, if the angles are in the ratio \(3: 2: 1\), then the ratio of its sides isAP EAMCET 2024 Easy
More PYQs from AP EAMCET
- Vapour pressure in \(\mathrm{mm} \mathrm{Hg}\) of 0.1 mole of urea in \(180 \mathrm{~g}\) of water at \(25^{\circ} \mathrm{C}\) is (The vapour pressure of water at \(25^{\circ} \mathrm{C}\) is \(24 \mathrm{~mm} \mathrm{Hg}\) )AP EAMCET 2014 Easy
- If the direction cosines of a straight line are \(\left(\frac{1}{c}, \frac{1}{c}, \frac{1}{c}\right)\), then \(c\) is equal toAP EAMCET 2021 Easy
- Noble metals, like gold and platinum are soluble in which of the following mixtures?AP EAMCET 2019 Easy
- Which one of the following is the kinetic energy of a gaseous mixture containing \(3 \mathrm{~g}\) of hydrogen and \(80 \mathrm{~g}\) of oxygen at temperature \(T(K)\) ?AP EAMCET 2016 Medium
- If \(A\) and \(B\) are two events of a random experiment such that \(P(A)=0.6, P(B)=0.3\) and \(P(A \mid B)=0.5\) then \(P(\bar{B} \mid \bar{A})=\)AP EAMCET 2017 Easy
- Find the angular speed of rotation of the Earth, so that the apparent \(g\) at the equator becomes (1/6)th of its original value.
\[
\left(R=6.4 \times 10^6 \mathrm{~m}\right)
\]AP EAMCET 2021 Medium