MHT CET · Maths · Parabola
The length of latus rectum of the parabola whose focus is at \((1,-2)\) and directrix is
the line \(x+y+3=0\) is
- A \(8 \sqrt{2}\) units
- B \(2 \sqrt{2}\) units
- C \(\sqrt{2}\) units
- D \(4 \sqrt{2}\) units
Answer & Solution
Correct Answer
(B) \(2 \sqrt{2}\) units
Step-by-step Solution
Detailed explanation
\(\hat{f}^{(1,-2)}\)
\(x+y+3=0\)
Distance of focus from
\(\text { Dizectrix }=22\)
\(\begin{array}{l}
1^{2} \text { distance } \\
=\frac{|1-2+3|}{\sqrt{2}} \\
=\sqrt{2} .
\end{array}\)
Length of L.R
\(=2 \sqrt{2}\)
\(x+y+3=0\)
Distance of focus from
\(\text { Dizectrix }=22\)
\(\begin{array}{l}
1^{2} \text { distance } \\
=\frac{|1-2+3|}{\sqrt{2}} \\
=\sqrt{2} .
\end{array}\)
Length of L.R
\(=2 \sqrt{2}\)
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
- For \(\mathrm{f}(x)=[x]\), whe inction. which of the following is tru very \(x \in \mathbb{R}\)MHT CET 2020 Easy
- \(\int_0^a \sqrt{\frac{a-x}{x}} d x=\frac{k}{2}\), then \(k=\)MHT CET 2021 Hard
- \(\int \log x \cdot(\log x+2) d x=\)MHT CET 2020 Hard
- The number of integral values of \(p\) for which the vector \((\mathrm{p}+1) \hat{i}-3 \hat{\mathrm{j}}+\mathrm{p} \widehat{\mathrm{k}}, \mathrm{p} \hat{i}+(\mathrm{p}+1) \hat{\mathrm{j}}-3 \widehat{\mathrm{k}}\) and \(-3 \hat{i}+\mathrm{p} \hat{\mathrm{j}}+(\mathrm{p}+1) \widehat{\mathrm{k}}\) are linearly dependent vectors, areMHT CET 2025 Medium
- If planes and pass through a straight line thenMHT CET 2018 Hard
- The shaded region in the following figure represents the solution set for a certain linear programming problem. Then linear constraints for this region are given by
MHT CET 2023 Medium
More PYQs from MHT CET
- An urn contains 9 balls of which 3 are red, 4 are blue and 2 are green. Three balls are drawn at random from the urn. The probability that the three balls have difference colours isMHT CET 2021 Medium
- Sperm of animal species X cannot fertilize ovum of species Y because ________ .MHT CET 2019 Hard
- When pollen tube enters the ovule through the micropyle it is known asMHT CET 2004 Medium
- Two condensers one of capacity \(\frac{C}{2}\) and other capacity \(\mathrm{C}\) are connected to a battery of voltage \(\mathrm{V}\) as shown. The work done in charging fully both the condensers is
MHT CET 2023 Easy - A charged particle is always moving parallel to the direction of magnetic field. The
magnetic force acting on the particle will beMHT CET 2020 Easy - A pipe open at both ends and a pipe closed at one end have same length. The ratio of frequencies of their overtone isMHT CET 2019 Medium