TS EAMCET · Maths · Parabola
If \((2, k)\) is a point on the parabola passing through the points \((1,-3),(-1,5),(0,2)\) and having its axis parallel to the \(Y\)-axis, then \(k\) is equal to
- A -10
- B 3
- C -7
- D 5
Answer & Solution
Correct Answer
(A) -10
Step-by-step Solution
Detailed explanation
Let equation of parabola is Given equation of parabola, \(y^2=l x\) ...(i) Eq. (i) passes through \((1,-3),(-1,5)\) and \((0,2)\). So, \(\quad a+b+c=-3\) ...(ii) \(a-b+c=5\) ...(iii) \(\Rightarrow \quad c=2\) ...(iv) From Eqs. (ii), (iii) and (iv), From Eq. (i),…
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 direction ratios of the line bisecting the angle between the \(x\)-axis and the line having direction ratios \((3,-1,5)\) areTS EAMCET 2025 Medium
- The equation of a circle of radius 5 units touching another circle \(x^2+y^2-2 x-4 y-20=0\) at \((5,5)\) isTS EAMCET 2019 Easy
- The degree and order of the differential equation of the family of parabolas whose axis is the \(\mathrm{X}\)-axis, are respectivelyTS EAMCET 2023 Easy
- A bag contains 9 identical black balls numbered 1 to 9 and 4 identical white balls numbered 1 to 4 . If 3 balls are drawn at a time randomly from that bag then the probability of getting at least one white ball isTS EAMCET 2022 Medium
- If \(A=\left[\begin{array}{lll}b & a & 0 \\ c & 0 & b \\ a & a & b\end{array}\right]\) and \(B=\left[\begin{array}{lll}0 & a & b \\ b & 0 & c \\ b & a & a\end{array}\right]\) are two matrices such that \(A B=\left[\begin{array}{ccc}2 & 2 & 7 \\ 1 & 8 & 5 \\ 3 & 6 & 10\end{array}\right]\), then \(\mathrm{a}^2+\mathrm{b}^2+\mathrm{c}^2=\)TS EAMCET 2023 Easy
- A fair coin is tossed a fixed number of times. If the probability of getting 5 heads is equal to the probability of getting 4 heads, then the probability of getting 6 heads isTS EAMCET 2024 Medium
More PYQs from TS EAMCET
- A circular hole of radius \(3 \mathrm{~cm}\) is cut out from a uniform circular disc of radius \(6 \mathrm{~cm}\). The centre of the hole is at \(3 \mathrm{~cm}\), from the centre of the original disc. The distance of centre of gravity of the resulting flat body from the centre of the original disc isTS EAMCET 2020 Hard
- An ideal gas at \(127^{\circ} \mathrm{C}\) is compressed suddenly to \(\frac{8}{27}\) of its initial volume. If \(\gamma=\frac{5}{3}\) for an ideal gas, then rise in its temperature isTS EAMCET 2023 Medium
- If one of the roots of the equation \(6 x^3-25 x^2+2 x+8=0\) is an integer and \(\alpha>0\), \(\beta < 0\) are the other two roots, then \(\frac{4}{\alpha}+\frac{1}{\beta}=\)TS EAMCET 2025 Medium
- If \(2 x-3 y+5=0\) and \(4 x-5 y+7=0\) are the equations of the normals drawn to a circle and \((2,5)\) is a point on the given circle, then the radius of the circle isTS EAMCET 2025 Medium
- An archer shoots an arrow from a height \(4.2 \mathrm{~m}\) above the ground with a speed \(40 \mathrm{~m} / \mathrm{s}\) and at an angle \(30^{\circ}\) as shown in the figure. Determine the horizontal distance \(R\) covered by the arrow, when it hits the ground, (Take \(g=10 \mathrm{~m} / \mathrm{s}^2\) )
TS EAMCET 2019 Easy - \[ \int_0^{2 a} f(x) d x= \]TS EAMCET 2022 Medium