AP EAMCET · Maths · Circle
Let \(\alpha\) be an integer multiple of 8 . If 5 is the set or an possible values of \(\alpha\) such that the line \(6 x+8 y+\alpha=0\) intersects the circle \(x^2+y^2-4 x-6 y+9=0\) at two distinct points, then the number of elements in S is
- A \(4\)
- B \(6\)
- C \(2\)
- D \(1\)
Answer & Solution
Correct Answer
(A) \(4\)
Step-by-step Solution
Detailed explanation
\(x^2+y^2-4 x-6 y+9=0\) Radius \(=\sqrt{4+9-9}=2 ;\) Centre \(=(2,3)\) The line \(6 x+8 y+\alpha=0\) intersects the circle at two distinct points \(\therefore\) Length of Perpendicular from centre \( \lt \) radius…
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 value of \(\tan 40^{\circ}+\tan 11^{\circ}+\tan 20^{\circ}-\tan 56^{\circ}+\tan 56^{\circ} \tan 11^{\circ}+\sqrt{3} \tan 40^{\circ} \tan 20^{\circ}\) isAP EAMCET 2018 Medium
- Let \(a, b\) and \(c\) be unit vectors such that \(a\) is perpendicular to the plane containing \(\mathbf{b}\) and \(\mathbf{c}\) and angle between \(\mathbf{b}\) and \(\mathbf{c}\) is \(\frac{\pi}{3}\). Then,\(|\mathbf{a}+\mathbf{b}+\mathbf{c}|=\)AP EAMCET 2022 Medium
- If \(3 x^2-11 x y+10 y^2-7 x+13 y+k=0\)
denotes a pair of straight lines, then the point of intersection of the lines isAP EAMCET 2010 Easy - If \(A\) is a matrix \(\left[\begin{array}{ll}1 & 0 \\ 1 & 1\end{array}\right]\), then \(A^n=\left[\begin{array}{ll}1 & 0 \\ n & 1\end{array}\right]\), \(\forall n \in N\)AP EAMCET 2021 Medium
- A spherical iron ball of radius is coated with a layer of ice of uniform thickness that melts at a rate of . When the thickness of ice is then the rate (in ) at which of the thickness of ice decreases, isAP EAMCET 2021 Medium
- The approximate value of \((1.0002)^{3000}\) isAP EAMCET 2002 Medium
More PYQs from AP EAMCET
- Identify the molecules which have \(s p\)-hybridised carbon(s) from the lisst given under.
I. Ethane nitrile,
II. Buta-1, 3-diene,
III. Propan-1,2-diene, IV. Ethyne
V. BenzeneAP EAMCET 2022 Easy - Match the following
AP EAMCET 2023 Medium - Which of the allotropic forms of carbon is aromatic in nature?AP EAMCET 2024 Medium
- The ratio in which the point \(P\), whose abscissa is 3, divides the join of \(A(6,5)\) and \(B(-1,4)\) is equal to .........AP EAMCET 2020 Easy
- A photo sensitive metallic surface emits electrons when X-rays of wavelength \(\lambda\) fall on it. The de-Broglie wavelength of the emitted electrons is (Neglect the work function of the surface, \(m\) is mass of the electron, \(h\) is Planck's constant, \(c\) is the velocity of light)AP EAMCET 2016 Hard
- The gaseous products formed at cathode \((X)\) and anode \((Y)\), when an aqueous solution of sodium acetate is electrolysed are
\(\begin{array}{ll}X & Y\end{array}\)AP EAMCET 2017 Easy