MHT CET · Maths · Circle
If a circle with centre at \((-1,1)\) touches the line \(x+2 y+4=0\) then the co-ordinates of the point of contact are
- A \((-2,-1)\)
- B \((8,-6)\)
- C \((-10,3)\)
- D \((-4,0)\)
Answer & Solution
Correct Answer
(A) \((-2,-1)\)
Step-by-step Solution
Detailed explanation
\(m_{tangent} = -\frac{1}{2}\) \(m_{normal} = 2\)
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
- Number of ways, in which 6 men and 5 women can sit at a round table, if no two women sit together, areMHT CET 2022 Medium
- The p.d.f. of a continuous random variable X is
\(\mathrm{f}(x)=\left\{\begin{array}{cc}
\frac{x^2}{18} & \text { if }-3 < x < 3 \\
0 & \text { otherwise }
\end{array}\right.\)
Then \(\mathrm{P}[|\mathrm{X}| < 2]=\)MHT CET 2025 Easy - If \(y=x^{n} \log x+x(\log x)^{n}\), then \(\frac{d y}{d x}\) is equal toMHT CET 2008 Medium
- If \(A=\left[\begin{array}{lll}1 & 2 & 3 \\ 1 & 1 & a \\ 2 & 4 & 7\end{array}\right]\) and \(B=\left[\begin{array}{ccc}13 & 2 & b \\ -3 & -1 & 2 \\ -2 & 0 & 1\end{array}\right]\) where matrix \(B\) is inverse of matrix \(a\), then the value of \(a\) and \(b\) areMHT CET 2021 Hard
- If a discrete random variable \(X\) is defined as follows
\(\mathrm{P}[\mathrm{X}=x]=\left\{\begin{array}{cl}
\frac{\mathrm{k}(x+1)}{5^x}, & \text { if } x=0,1,2 \ldots \ldots \
0, &
\end{array}\right.\) \(\text { otherwise then }\)\(\mathrm{k}=\)MHT CET 2024 Medium - Four persons can hit a target correctly with probabilities \(\frac{1}{2}, \frac{1}{3}, \frac{1}{4}\) and \(\frac{1}{5}\) respectively. If all hit at the target independently, then the probability that the target would be hit, isMHT CET 2024 Easy
More PYQs from MHT CET
- What is the conductivity of 0.05 M NaOH solution having resistance 31.5 ohm and cell constant \(0.315 \mathrm{~cm}^{-1}\) ?MHT CET 2024 Easy
- Calculate the relative lowering of vapour pressure if vapour pressure of pure solvent and vapour pressure of solution at \(25^{\circ} \mathrm{C}\) are 32 and 30 mm Hg respectively.MHT CET 2024 Easy
- The equation of a line, whose perpendicular distance from the origin is 5 units and the angle, which the perpendicular to the line from the origin makes, is \(210^{\circ}\) with positive \(\mathrm{X}\)-axis, isMHT CET 2022 Easy
- If and are the coordinates of the points of trisection of the line segment joining the points thenMHT CET 2017 Easy
- The area of the square increases at the rate of \(0.5 \mathrm{~cm}^{2} / \mathrm{sec}\). The rate at which its
perimeter is increasing when the side of the square is \(10 \mathrm{~cm}\) long, isMHT CET 2020 Easy - What is the heat of formation of \(\mathrm{HCl}_{(\mathrm{g})}\) from following equation? \(\mathrm{H}_{2(\mathrm{~g})}+\mathrm{Cl}_{2(\mathrm{~g})} \rightarrow 2 \mathrm{HCl}_{(\mathrm{g})} \Delta_{\mathrm{f}} \mathrm{H}=-194 \mathrm{~kJ}\)MHT CET 2022 Easy