TS EAMCET · Maths · Parabola
If the straight line \(y=m x+c\) is parallel to the axis of the parabola \(y^2=l x\) and intersects the parabola at \(\left(\frac{c^2}{8}, c\right)\), then the length of the latusrectum is
- A 2
- B 3
- C 4
- D 8
Answer & Solution
Correct Answer
(D) 8
Step-by-step Solution
Detailed explanation
Given equation of parabola, \(y^2=l x\) ...(i) Here, length of latusrectum \(=l\) Since, point \(\left(\frac{c^2}{8}, c\right)\) is the point of intersection of parabola and the line \(y=m x+c\) then it will satisfy the equations.…
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
- One of the foci of an ellipse is \((2,-3)\) and its corresponding directrix is \(2 x+y=5\). If the eccentricity of the ellipse is \(\frac{\sqrt{5}}{3}\) then the coordinates of the other focus areTS EAMCET 2025 Medium
- If \(A=\left[\begin{array}{ll}1 & 2 \\ 3 & 5\end{array}\right]\) and \(\alpha, \beta \in \mathbb{R}\) are such that \(\alpha A^2-\beta A=2 I\), then \(\alpha^2+\beta=\)TS EAMCET 2023 Easy
- \(\left|\begin{array}{lll}2 & 3 & 5 \\ 3 & 5 & 2 \\ 5 & 2 & 3\end{array}\right|+\left|\begin{array}{ccc}1 & 1 & 1 \\ 7 & 11 & 13 \\ 49 & 121 & 169\end{array}\right|=\)TS EAMCET 2023 Easy
- If \(x>0, x^y=e^{x-y}\), then \(\frac{d y}{d x}\) is equal toTS EAMCET 2004 Medium
- If \(a \neq b \neq c, \Delta_1=\left|\begin{array}{lll}1 & a^2 & b c \\ 1 & b^2 & c a \\ 1 & c^2 & a b\end{array}\right|, \Delta_2=\left|\begin{array}{ccc}1 & 1 & 1 \\ a^2 & b^2 & c^2 \\ a^3 & b^3 & c^3\end{array}\right|\) and \(\frac{\Delta_1}{\Delta_2}=\frac{6}{11}\), then \(11(a+b+c)=\)TS EAMCET 2024 Easy
- From a point on the level ground, the angle of elevation of the top of a pole is \(30^{\circ}\) on moving 20 metres nearer, the angle of elevation is \(45^{\circ}\). Then, the height of the pole (in metres), isTS EAMCET 2002 Medium
More PYQs from TS EAMCET
- Consider a rod of length, with a cross-sectional area of The rod supports a , platform that hangs attached to the rod's lower end. What is the elongation of the rod under the stress ignoring the weight of the rod? Consider Young's modulus to be andTS EAMCET 2021 Medium
- Consider a rocket is being fired. The kinetic energy of the rocket is increased by times where as its total mass is reduced by half through the burning of fuel. The factor by which its momentum increases isTS EAMCET 2021 Medium
- Which of the following interaction is responsible for beta decay?TS EAMCET 2022 Easy
- If \(f(x)=\left(x^2-1\right)^7\), then \(f^{(14)}(x)\) is equal toTS EAMCET 2012 Medium
- The solution set of the inequation \(3^x+3^{1-x}-4 \lt 0\) contained in \(\mathbf{R}\) isTS EAMCET 2024 Easy
- The mean deviation about the mean for the following data, is
xi 2 4 5 7 9 fi 2 4 10 8 6 TS EAMCET 2018 Easy