TS EAMCET · Maths · Ellipse
If \(4 x+2 y+n=0\) is a normal to the ellipse \(\frac{x^2}{36}+\frac{y^2}{16}=1\), then \(n=\)
- A \(\pm \frac{9}{4}\)
- B \(\pm \frac{9}{\sqrt{10}}\)
- C \(\pm \frac{5}{4}\)
- D \(\pm 8\)
Answer & Solution
Correct Answer
(D) \(\pm 8\)
Step-by-step Solution
Detailed explanation
\[ \begin{aligned} & \text 4 x+2 y+n=0 \Rightarrow y=-2 x-\frac{n}{2} \\ & \Rightarrow \frac{x^2}{36}+\frac{y^2}{16}=1 \end{aligned} \] If \(y=m x+c\) is normal to ellipse…
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 \(m\) and \(n\) are respectively the order and degree of the differential equation of the family of parabolas with origin as its focus and X-axis as its axis, then \(m n-m+n=\)TS EAMCET 2023 Medium
- If \(A\) is not an integral multiple of \(\frac{\pi}{2}\), then \(\operatorname{cosec} 2 A+\cot 2 A\) is equal toTS EAMCET 2021 Easy
- In an isosceles triangle the ends of its base are \((2 a, 0)\), \((0, a)\) and one of its two other sides is a horizontal line other \(\mathrm{X}\)-axis. If the third vertex is \(\left(x_1, y_1\right)\) then \(x_1+y_1=\)TS EAMCET 2022 Easy
- \(f:[-2,2] \rightarrow[-2,2]\) and \(g:[-2,2] \rightarrow[0,4]\) are two functions defined as \(f(x)=\left\{\begin{array}{l}-2,-2 \leq x \leq 0 \ x^2-2,0 \leq x \leq 2\end{array}\right.\) and \(g(x)=|f(x)|+f(|x|)\), thenTS EAMCET 2021 Medium
- If a number \(x\) is drawn randomly from the set of numbers \(\{1,2,3, \ldots, 50\}\), then the probability that number \(x\) that is drawn satisfies the inequation \(x+\frac{10}{x} \leq 11\) isTS EAMCET 2025 Medium
- If the rate of change of the slope of the tangent drawn to the curve \(y=x^3-2 x^2+3 x-2\) at the point \((2,4)\) is k times the rate of change of its abscissa, then \(\mathrm{k}=\)TS EAMCET 2025 Medium
More PYQs from TS EAMCET
- The mean deviation from the arithmetic mean of the discrete data \(2,7,5,6,4,3,11,17,8\) isTS EAMCET 2020 Easy
- A stone projected from the ground with a velocity \(50 \mathrm{~ms}^{-1}\) at an angle of \(30^{\circ}\) with the horizontal crosses a wall after a time of \(3 \mathrm{~s}\). Then the horizontal distance beyond the wall that the stone strikes the ground is \(\left(\right.\) acceleration due to gravity \(\left.=10 \mathrm{~ms}^{-2}\right)\)TS EAMCET 2023 Easy
- The correct order of boiling points of hydrogen halides isTS EAMCET 2024 Easy
- A point moves in the \(X Y\)-plane such that the sum of its distances from two mutually perpendicular lines is always equal to 3 . The area enclosed by the locus of that point is (in sq. units)TS EAMCET 2018 Easy
- Calorific value of producer gas is low because ofTS EAMCET 2007 Easy
- A question paper has 3 parts and each part contains 4 questions. The number of different ways in which a candidate can answer 8 questions choosing at least two from each part isTS EAMCET 2022 Easy