TS EAMCET · Maths · Pair of Lines
The equation represents a pair of lines for the ordered pair
- A
- B
- C
- D
Answer & Solution
Correct Answer
(D)
Step-by-step Solution
Detailed explanation
Given, x2-y2+ax+b=0 represents pair of straight line We know that if ax2+2hxy+by2+2gx+2fy+c=0 represent a pair of straight line then △=2fgh+abc-af2-bg2-ch2=0 So, on comparing with given equation we get, △=0+1×-1×b-0+1a22=0 ⇒a2-4b=0 So, only 6,9 will…
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 dealer gets refrigerators from 3 different manufacturing companies \(C_1, C_2\) and \(C_3 .25 \%\) of his stock is from \(C_1, 35 \%\) from \(C_2\) and \(40 \%\) from \(C_3\). The percentages of receiving defective refrigerators from \(C_1, C_2\) and \(C_3\) are \(3 \%, 2 \%\), \(1 \%\) respectively. If a refrigerator sold at random is found to be defective by a customer, then the probability that it is from \(C_2\) isTS EAMCET 2024 Hard
- 5 persons entered a lift cabin in the cellar of a 7 -floor building apart from cellar. If each of them independently and with equal probability can leave the cabin at any floor out of the 7 floors beginning with the first, then the probability of all the 5 persons leaving the cabii at different floors isTS EAMCET 2023 Hard
- If \(C_r\) denotes the binomial coefficient \({ }^n C_r\), then \((-1) C_0^2+2 C_1^2+5 C_2^2+\ldots+(3 n-1) C_n^2\) is equal toTS EAMCET 2016 Hard
- Let \(P(1,-2,5)\) be the foot of the perpendicular drawn from the origin to the plane \(\pi_1\) and the same \(P\) be the foot of the perpendicular from \((1,2,-1)\) to the plane \(\pi_2\). Then the acute angle between the planes \(\pi_1\) and \(\pi_2\) isTS EAMCET 2019 Medium
- If and , thenTS EAMCET 2018 Medium
- If all the vertices of an equilateral triangle lie on the parabola \(y^2=16 x\) and one of them coincides with the vertex of that parabola, then the length of the side of that triangle isTS EAMCET 2020 Medium
More PYQs from TS EAMCET
- Temperature of maximum density of \(\mathrm{H}_2 \mathrm{O}\) is \(y \mathrm{~K}\) and \(\mathrm{D}_2 \mathrm{O}\) is \(x \mathrm{~K} .(x-y)\) (in K ) is nearlyTS EAMCET 2025 Easy
- At \(300 \mathrm{~K}, 0.06 \mathrm{~kg}\) of an organic solute is dissolved in 1 kg water. The vapour pressure of solution at 300 K is 3.768 kPa . If vapour pressure of water at that temperature is 3.78 kPa , what is the molar mass of the organic solute (in \(\mathrm{g} \mathrm{mol}^{-1}\) )? (Assume the solution in dilute)TS EAMCET 2024 Medium
- Two numbers are chosen at random from \(\{1,2,3,4,5,6,7,8\}\) at a time. The probability that smaller of the two numbers is less than 4 isTS EAMCET 2013 Hard
- If \(P M\) is the perpendicular from \(P(2,3)\) onto the line \(x+y=3\), then the coordinates of \(M\) areTS EAMCET 2005 Easy
- A body of mass \(4 \mathrm{~kg}\) is moving with momentum of \(8 \mathrm{~kg} \mathrm{~ms}^{-1}\). A force of \(0.2 \mathrm{~N}\) acts on it in the direction of motion of the body for 10 seconds. The increase in kinetic energy in joules isTS EAMCET 2002 Easy
- Two strings \(A\) and \(B\) of lengths, \(L_A=80 \mathrm{~cm}\) and \(L_B=x \mathrm{~cm}\) respectively are used separately in a sonometer. The ratio of their densities \(\left(d_A / d_B\right)\) is 0.81 . The diameter of \(B\) is one-half that of \(A\). If the strings have the same tension and fundamental frequency the value of \(x\) is :TS EAMCET 2006 Medium