AP EAMCET · Maths · Parabola
The equation of the tangent to the parabola \(y^2=16 x\), which is perpendicular to the line \(3 x-4 y+5=0\) is given by
- A \(4 x-3 y+9=0\)
- B \(4 x+3 y-9=0\)
- C \(4 x+3 y+9=0\)
- D \(4 x-3 y-9=0\)
Answer & Solution
Correct Answer
(C) \(4 x+3 y+9=0\)
Step-by-step Solution
Detailed explanation
Equation of tangent to the parabola \(y^2=16 x\) which is perpendicular to the line \(3 x-4 y+5=0\). So, slope of tangent is \(\left(-\frac{4}{3}\right)\) Therefore equation of tangent is…
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 \(\left[\begin{array}{lll}x & 4-1\end{array}\right]\left[\begin{array}{lll}2 & 1 & 0 \\ 1 & 0 & 2 \\ 0 & 2 & 4\end{array}\right]\left[\begin{array}{c}x \\ 4 \\ -1\end{array}\right]=0\), then \(x=\)AP EAMCET 2023 Easy
- Three dice are thrown simultaneously and the sum of the numbers appeared on them is noted. If \(A\) is the event of getting a sum greater than 14 and \(B\) is the event of getting a sum which is a multiple of 3, then \(\mathrm{P}(\mathrm{A} \cap \overline{\mathrm{B}})+\mathrm{P}(\overline{\mathrm{A}} \cap \mathrm{B})=\)AP EAMCET 2025 Medium
- \(\int \frac{d x}{x^2 \sqrt{4+x^2}}\) is equal toAP EAMCET 2012 Hard
- Observe the following statements
A. Integrating factor of \(\frac{d y}{d x}+y=x^2\) is \(e^x\)
R. Integrating factor of \(\frac{d y}{d x}+P(x) y=Q(x)\) is \(e^{\int P(x) d x}\)
Then, the true statement among the following isAP EAMCET 2004 Easy - A variable plane \(\frac{x}{a}+\frac{y}{b}+\frac{z}{c}=1\), which is at a unit distance from the origin cuts the coordinate axes at \(A, B\) and \(C\). If the centroid \((x, y, z)\) of \(\triangle A B C\) satisfies \(\frac{1}{x^2}+\frac{1}{y^2}+\frac{1}{z^2}=k\), then \(k\) equalsAP EAMCET 2021 Hard
- Let \(\mathrm{S}\) be the circumcircle of the triangle formed by the line \(x-2 y-4=0\) with the coordinate axes. If \(\mathrm{P}(-2,-4)\) is a point in the plane of the circle \(S\) and \(Q\) is a point on \(S\) such that the distance between \(\mathrm{P}\) and \(\mathrm{Q}\) is the least, then \(\mathrm{PQ}=\)AP EAMCET 2023 Hard
More PYQs from AP EAMCET
- In the ground state of hydrogen atom. electron absorbs 1.5 times energy than the minimum energy \(\left(2.18 \times 10^{-18} \mathrm{~J}\right)\) to escape from the atom. The wavelength of the emitted electron (in m) is \(\left(m_e=9 \times 10^{-31} \mathrm{~kg}\right)\)AP EAMCET 2024 Medium
- The gravitational force acting on a particle, due to a solid sphere of uniform density and radius \(R\), at a distance of \(3 R\) from the centre of the sphere is \(F_1\). A spherical hole of radius \((R / 2)\) is now made in the sphere as shown in the figure. The sphere with hole now exerts a force \(F_2\) on the same particle. Ratio of \(F_1\) and \(F_2\) is
AP EAMCET 2013 Hard - If \(y=x-x^2\), then the rate of change of \(y^2\) with respect to \(x^2\) at \(x=2\) isAP EAMCET 2024 Easy
- The values of \(\mathrm{Y}\) and \(\mathrm{Z}\) in the given logic circuit are
AP EAMCET 2022 Easy - \(P\) is a variable point such that the distance of \(P\) from \(A(4,0)\) is twice the distance of \(P\) from \(B(-4,0)\). If the line \(3 y-3 x-20=0\) intersects the locus of P at the points C and D , then the distance between C and D isAP EAMCET 2024 Easy
- Solution " \(X\) " contains \(\mathrm{Na}_2 \mathrm{CO}_3\) and \(\mathrm{NaHCO}_3\). \(20 \mathrm{~mL}\) of \(X\) when titrated using methyl orange indicator consumed \(60 \mathrm{~mL}\) of \(0.1 \mathrm{M}\) \(\mathrm{HCl}\) solution. In another experiment, \(20 \mathrm{~mL}\) of \(X\) solution when titrated using phenolphthalein consumed \(20 \mathrm{~mL}\) of \(0.1 \mathrm{M}\) \(\mathrm{HCl}\) solution. The concentrations (in \(\mathrm{mol} \mathrm{L}^{-1}\) ) of \(\mathrm{Na}_2 \mathrm{CO}_3\) and \(\mathrm{NaHCO}_3\) in \(X\) are respectivelyAP EAMCET 2013 Hard