COMEDK · Maths · 12. Circle
If \(3 x+y+k=0\) is a tangent to the circle \(x^{2}+y^{2}=10\), the values of \(k\) are
- A \(\pm 5\)
- B \(\pm 7\)
- C \(\pm 9\)
- D \(\pm 10\)
Answer & Solution
Correct Answer
(D) \(\pm 10\)
Step-by-step Solution
Detailed explanation
We have, \(3 x+y+k=0\) is iargent to the circle \(x^{2}+v^{2}=10 .\) So, distance of line \(3 x+y+k=0\) from centre of the circle will he equal to the radius of circle.…
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
- In a trial, the probability of success is twice the probability of failure. In six trials, the probability of at most two failure will beCOMEDK 2023 Medium
- Which of the following is the simplest form of the expression \(\tan^{-1}\left(\dfrac{\sqrt{1+x^2} - 1}{x}\right)\) where \(x \neq 0\)COMEDK 2026 Medium
- If \(y=\sin ^{-1}\left(\dfrac{1}{\sqrt{x+1}}\right)\) then \(\dfrac{d y}{d x}=\)COMEDK 2025 Medium
- The unit vector in the direction of the vector \(\mathbf{a}+2 \mathbf{b}-\mathbf{c}\) is equal toCOMEDK 2012 Easy
- If \(\mathbf{a}=\hat{\mathbf{i}}+\hat{\mathbf{j}}+2 \hat{\mathbf{k}}\) and \(\mathbf{b}=3 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}-\hat{\mathbf{k}}\), then find \((a+3 b) \cdot(2 a-b) .\)COMEDK 2017 Easy
- The terms of an infinitely decreasing geometric progression in which all the terms are positive, the first term is 4 , and the difference between third and fifth term is \(\dfrac{32}{81}\), then which of the following is not trueCOMEDK 2025 Hard
More PYQs from COMEDK
- A particle starts moving from point \((2,10,1)\). Displacement for the particle is \(8 \hat{\mathbf{i}}-2 \hat{\mathbf{j}}+\hat{\mathbf{k}}\). The final coordinates of the particle isCOMEDK 2020 Easy
- \(56 \mathrm{~g}\) of nitrogen and \(8 \mathrm{~g}\) of hydrogen gas are heated in a closed vessel. At equilibrium \(34 \mathrm{~g}\) of ammonia are present. The equilibrium number of moles of nitrogen, hydrogen and ammonia are respectivelyCOMEDK 2016 Hard
- Which one of the following is an incorrect statement pertaining to the properties of Coordination compounds?COMEDK 2023 Medium
- If \(x+\frac{1}{x}=2 \cos \alpha\), then \(x^{n}+\frac{1}{x^{n}}\) is equal toCOMEDK 2013 Hard
- A convex lens forms a real image of an object with magnification \(m_1\). The lens is moved towards the object to obtain another real image of magnification \(\mathrm{m}_2\). The image distance is increased by x . The focal length of the lens isCOMEDK 2025 Medium
- The probability distribution of a discrete random variable X is given as
X 1 2 4 2A 3A 5A P(X) \(\dfrac{1}{2}\) \(\dfrac{1}{5}\) \(\dfrac{3}{25}\) K \(\dfrac{1}{25}\) \(\dfrac{1}{25}\)
\(\text { Then the value of } A \text { if } E(X)=2.94 \text { is }\)COMEDK 2023 Medium