TS EAMCET · Maths · Pair of Lines
If the combined equation of the diagonals of the square formed by the pairs of lines \(x y+4 x-5 y-20=0\) and \(x y-5 x+4 y-20=0\) is \(x^2-y^2-k x+l y=0\), then \(k+l=\).
- A 0
- B 2
- C -1
- D 1
Answer & Solution
Correct Answer
(B) 2
Step-by-step Solution
Detailed explanation
\[ \text { We have, } \] (i) \[ \begin{aligned} x y+4 x-5 y-20 & =0 \\ (x-5)(y+4) & =0 \end{aligned} \] (ii) \[ \begin{aligned} x y-5 x+4 y-20 & =0 \\ (x+4)(y-5) & =0 \end{aligned} \] Equation of diagonal \(A C\)…
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
- Two players A and B are alternately throwing a coin and a die together. A player who first throws head and 6 wins the game. If A starts the game, then the probability that B wins the game is.TS EAMCET 2022 Medium
- For a group of 100 observations, the arithmetic mean and standard deviation are 8 and \(\sqrt{10.5}\) respectively. The mean and standard deviation of 50 items selected from these 100 observations are 10 and 2 respectively. Then the standard deviation of the remaining 50 observation isTS EAMCET 2019 Medium
- In a binomial distribution the probability of getting success is \(\frac{1}{4}\) and the standard deviation is 3 . Then, its mean isTS EAMCET 2002 Easy
- The mid-point of the chord of the circle \(x^2+y^2-6 x+4 y-12=0\) drawn parallel to the tangent at \((-1,1)\) and at a distance of one unit from the tangent isTS EAMCET 2020 Hard
- If \(\frac{d y}{d x}=4\) and \(\frac{d^2 y}{d x^2}=-3\) at a point \(P\) on the curve \(y=f(x)\), then \(\left(\frac{d^2 x}{d y^2}\right)_p=\)TS EAMCET 2019 Easy
- Let denotes the fractional part of a real number ThenTS EAMCET 2021 Easy
More PYQs from TS EAMCET
- If the equation of the plane passing through the point \((2,-3,4)\) and perpendicular to both the planes \(2 x-3 y+5 z=2\) and \(x+y+2 z=3\) is \(x+p y+q z=r\), then \(r\) is equal toTS EAMCET 2021 Medium
- A moving body with a mass \(m_1\) and velocity \(u\) strikes a stationary body of mass \(m_2\). The masses \(m_1\) and \(m_2\) should be in the ratio \(\frac{m_1}{m_2}\), so as to decrease the velocity of the first body to \(\frac{2 u}{3}\) and giving a velocity of \(v\) to \(m_2\) assuming a perfectly elastic impact. Then, the ratio \(\frac{m_1}{m_2}\) isTS EAMCET 2020 Easy
- For a zero-order reaction, the correct expression for rate constant \((k)\) at half-life time \(\left(t_{1 / 2}\right)\) is \(\left(R_0=\right.\) initial concentration of reactant)TS EAMCET 2019 Easy
- The number of solutions of the system of equations \(2 x+y-z=7, \quad x-3 y+2 z=1\), \(x+4 y-3 z=5\) isTS EAMCET 2003 Easy
- At any point on a curve, the slope of the tangent is equal to the sum of abscissa and the product of ordinate and abscissa of that point. If the curve passes through , then the equation of the curve isTS EAMCET 2018 Medium
- Two resistances of \(400 \Omega\) and \(800 \Omega\) are connected in series with \(6 \mathrm{~V}\) battery of negligible internal resistance. A voltmeter of resistance \(10000 \Omega\) is used to measure the potential difference across \(400 \Omega\). The error in the measurement of potential difference in volts approximately is :TS EAMCET 2003 Medium