enEnglishguગુજરાતી
JEE Mains · Maths · STD 11 - 10.1 circle and system of circle
A circle touches the \(y\) -axis at the point \((0,4)\) and passes through the point \((2,0) .\) Which of the following lines is not a tangent to this circle?
- A \(3 x-4 y-24=0\)
- B \(3 x+4 y-6=0\)
- C \(4 x+3 y-8=0\)
- D \(4 x-3 y+17=0\)
Answer & Solution
Correct Answer
(C) \(4 x+3 y-8=0\)
Step-by-step Solution
Detailed explanation
Equation of family of circle touching y-axis at \((0,4)\) is given by \((x-0)^{2}+(y-4)^{2}+\lambda x=0\) It passes through \((2,0)\) \(\Rightarrow \quad \lambda=-10\) \(\Rightarrow \quad\) Required circle is \((x-0)^{2}+(y-4)^{2}-10 x=0\)…
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 system of equations \(x-2 y+3 z=9\) \(2 x+y+z=b\) \(x-7 y+a z=24\) has infinitely many solutions, then \(a - b\) is equal toJEE Mains 2020 Medium
- Two cards are drawn successively with replacement from a well shuffled deck of \(52\) cards. Let \(X\) denote the random variable of number of aces obtained in the two drawn cards. Then \(P\,\left( {X = 1} \right)\, + P\,\left( {X = 2} \right)\) equalsJEE Mains 2019 Hard
- The term independent of \(x\) in the binomial expansion of \(\left( {1 - \frac{1}{x} + 3{x^5}} \right){\left( {2{x^2} - \frac{1}{x}} \right)^8}\) isJEE Mains 2015 Hard
- Let \(A =\{1,2,3,4, \ldots .10\}\) and \(B =\{0,1,2,3,4\}\) The number of elements in the relation \(R =\{( a , b )\) \(\left.\in A \times A : 2( a - b )^2+3( a - b ) \in B \right\}\) is \(.........\).JEE Mains 2023 Hard
- Let a vertical tower \(AB\) have its end \(A\) on the level ground. Let \(C\) be the mid-point of \(AB\) and \(P\) be apoint on the ground such that \(AP=2AB\) . If \(\angle BPC = \beta \) then \(\tan \beta \) is equal to :JEE Mains 2017 Hard
- The sum of all values of \(\theta \, \in \,\left( {0,\frac{\pi }{2}} \right)\) satisfying \({\sin ^2}\,2\theta + {\cos ^4}\,2\theta = \frac{3}{4}\) isJEE Mains 2019 Hard
More PYQs from JEE Mains
- Let \(\alpha\) be a root of the equation \(1+x^{2}+x^{4}=0\). Then the value of \(\alpha^{1011}+\alpha^{\text {2022 }}-\alpha^{\text {3033}}\) is equal toJEE Mains 2022 Medium
- The sum of the squares of the roots of \(|\mathrm{x}+2|^2+|\mathrm{x}-2|-2=0\) and the squares of the roots of \(x^2-2|x-3|-5=0\), isJEE Mains 2025 Medium
- Let \(\mathrm{g}(\mathrm{x})\) be a linear function and \(f(x)=\left\{\begin{array}{cl}g(x) & , x \leq 0 \\ \left(\frac{1+x}{2+x}\right)^{\frac{1}{x}} & , x>0\end{array}\right.\), is continuous at \(x=0\). If \(f^{\prime}(1)=f(-1)\), then the value of \(g(3)\) isJEE Mains 2024 Hard
- If one of the diameters of the circle \(x^{2}+y^{2}-2 \sqrt{2} x\) \(-6 \sqrt{2} y+14=0\) is a chord of the circle \((x-2 \sqrt{2})^{2}\) \(+(y-2 \sqrt{2})^{2}=r^{2}\), then the value of \(r^{2}\) is equal toJEE Mains 2022 Hard
- Let \(f: \mathbf{R} \rightarrow \mathbf{R}\) be a function such that \(f(x) + 3f\left(\dfrac{\pi}{2} - x\right) = \sin x\), \(x \in \mathbf{R}\). Let the maximum value of \(f\) on \(\mathbf{R}\) be \(\alpha\). If the area of the region bounded by the curves \(g(x) = x^2\) and \(h(x) = \beta x^3\), \(\beta > 0\), is \(\alpha^2\), then \(30\beta^3\) is equal to _______.JEE Mains 2026 Hard
- Let \(A\) and \(B\) be \(3 \times 3\) real matrices such that \(A\) is symmetric matrix and \(B\) is skew-symmetric matrix. Then the system of linear equations \(\left( A ^{2} B ^{2}- B ^{2} A ^{2}\right) X = O ,\) where \(X\) is a \(3 \times 1\) column matrix of unknown variables and \(O\) is a \(3 \times 1\) null matrix, has ....... .JEE Mains 2021 Hard