MHT CET · Maths · Circle
The equations of the tangents to the circle \(x^2+y^2=36\) which are perpendicular to the line \(5 x+y=2\), are
- A \(x+5 y \pm 6 \sqrt{26}=0\)
- B \(x-5 y \pm 6 \sqrt{26}=0\)
- C \(5 x-y \pm 6 \sqrt{26}=0\)
- D \(5 x+y \pm 6 \sqrt{26}=0\)
Answer & Solution
Correct Answer
(B) \(x-5 y \pm 6 \sqrt{26}=0\)
Step-by-step Solution
Detailed explanation
\(r^2 = 36 \Rightarrow r=6\) Slope of \(5x+y=2\) is \(m_1 = -5\).
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 the p.m.f. of a r.v. \(X\) is
then, the standard deviation of \(\mathrm{X}\) is (given \(p+q=1\) )MHT CET 2020 Easy - If \(\log _2 x+\log _4 x+\log _8 x+\log _{16} x=\frac{25}{36}\) and \(x=2^k\), then \(k\) isMHT CET 2023 Easy
- Equation of the plane passing through the point \((2,0,5)\) and parallel to the vectors \(\hat{i}-\hat{j}+\hat{k}\) and \(3 \hat{i}+2 \hat{j}+\hat{k}\) isMHT CET 2021 Easy
- The area of the triangle, whose vertices are \(\mathrm{A} \equiv(1,-1,2), \mathrm{B} \equiv(2,1,-1)\) and \(\mathrm{C} \equiv(3,-1,2)\), isMHT CET 2024 Medium
- If the function \(\mathrm{f}(x)=x(x+3) \mathrm{e}^{-\frac{x}{2}}\) satisfies all the conditions of Rolle's theorem in \([-3,0]\), then c isMHT CET 2025 Easy
- Consider the following statements
\(p: 2\) is an even prime number
q : If \(\mathrm{z}_1=2-i, \mathrm{z}_2=-2+i \quad\) where \(i=\sqrt{-1}\), then \(\operatorname{Im}\left[\frac{1}{z_1 \stackrel{}{\bar{z}_2}}\right]=-\frac{1}{5}\)
\(r: \tan \left(-945^{\circ}\right)=-1\)
then which of the following has truth value True.MHT CET 2025 Medium
More PYQs from MHT CET
- \(\tan \left(\cos ^{-1} \frac{1}{\sqrt{2}}+\tan ^{-1} \frac{1}{2}\right)=\)MHT CET 2024 Easy
- What is the wave number of lowest transition in Balmer series?MHT CET 2024 Medium
- Which from following species does not have number of electrons similar to other three species?MHT CET 2024 Medium
- An engine is moving on a circular path of radius \(200 \mathrm{~m}\) with speed of \(15 \mathrm{~m} / \mathrm{s}\). What will be the frequency heard by an observer who is at rest at the centre of the circular path, when engine blows the whistle with frequency \(250 \mathrm{~Hz}\)?MHT CET 2020 Easy
- The odds against a certain event are \(5: 2\) and the odds in favour of another independent event are \(6: 5 .\) The probability that at least one of the events will happen, isMHT CET 2007 Medium
- In cyclotron, the time taken by an ion to describe semicircular path in a dee isMHT CET 2020 Medium