MHT CET · Maths · Straight Lines
Locus of the point of intersection of perpendicular tangents to the circle \(x^{2}+y^{2}=16\) is
- A \(x^{2}+y^{2}=8\)
- B \(x^{2}+y^{2}=32\)
- C \(x^{2}+y^{2}=64\)
- D \(x^{2}+y^{2}=16\)
Answer & Solution
Correct Answer
(B) \(x^{2}+y^{2}=32\)
Step-by-step Solution
Detailed explanation
We know that, if two perpendicular tangents to the circle \(x^{2}+y^{2}=a^{2}\) meet at \(P\), then the point
\(P\) lies on a director circle. \(\therefore\) Required locus is \(x^{2}+y^{2}=32\)
\(P\) lies on a director circle. \(\therefore\) Required locus is \(x^{2}+y^{2}=32\)
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 probability that an event A happens in a trial is 0.4 . If three independent trials are made, then the probability that A happens at least once isMHT CET 2025 Easy
- If \(x^2+y^2=\mathrm{t}+\frac{1}{\mathrm{t}}, x^4+y^4=\mathrm{t}^2+\frac{1}{\mathrm{t}^2}\), then \(\frac{\mathrm{d} y}{\mathrm{~d} x}=\)MHT CET 2024 Medium
- For 20 observations of variable \(x\), if \(\sum\left(x_{\mathrm{i}}-2\right)=20\) and \(\sum\left(x_{\mathrm{i}}-2\right)^2=100\), then the standard deviation of variable \(x\) isMHT CET 2023 Hard
- \(
\int_{-a}^{a} x^{2}\left(\frac{e^{x^{3}}-e^{-x^{3}}}{e^{x^{3}}+e^{-x^{3}}}\right) d x=
\)MHT CET 2020 Easy - The angle between the two lines
\(\frac{x-4}{1}=\frac{y+4}{2}=\frac{z+1}{2}\) and \(\frac{x+1}{2}=\frac{y+3}{2}=\frac{z-4}{-1}\) isMHT CET 2020 Easy - With usual notations, in \(\Delta \mathrm{ABC}\), if \(\mathrm{b} \cos ^{2} \frac{\mathrm{C}}{2}+\mathrm{c} \cos ^{2} \frac{\mathrm{B}}{2}=\frac{3 \mathrm{a}}{2}\), thenMHT CET 2020 Medium
More PYQs from MHT CET
- The process by which primary germinal layers are formed is calledMHT CET 2016 Hard
- Which is true for heat and temperature?MHT CET 2020 Easy
- Which from following cations forms least stable complex with same ligand?MHT CET 2025 Hard
- \(\int_{\log \frac{1}{2}}^{\log 2} \sin \left(\frac{\mathrm{e}^{\mathrm{x}}-1}{\mathrm{e}^{\mathrm{x}}+1}\right) \mathrm{dx}=\)MHT CET 2022 Medium
- Which among the following carboxylic acids is a tricarboxylic acid?MHT CET 2016 Medium
- A monoatomic ideal gas, initially at temperature ' \(\mathrm{T}_1\) ' is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expand adiabatically to a temperature ' \(\mathrm{T}_2\) ' by releasing the piston suddenly \(L_1\) and \(L_2\) are the lengths of the gas columns before and after the expansion respectively. The \(\frac{\mathrm{T}_2}{\mathrm{~T}_1}\) isMHT CET 2021 Easy