Question:
The equation of the circle with centre (0,2) and radius 2 is
\[
x^2 + y^2 - my = 0.
\]
The value of \( m \) is:
The equation of the circle with centre (0,2) and radius 2 is
\[
x^2 + y^2 - my = 0.
\]
The value of \( m \) is:
Show Hint
The equation of a circle is given by \( (x-h)^2 + (y-k)^2 = r^2 \), where \( (h,k) \) is the centre.
Updated On: Feb 15, 2025
- 1
- 2
- 4
- 3
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Using the standard equation of a circle:
\[
(x - 0)^2 + (y - 2)^2 = 2^2
\]
Expanding and simplifying, we find \( m = 4 \).
Was this answer helpful?
0
0
Top Questions on inequalities
- let \(S\) be the set of positive integral values of a for which \(\frac {ax^2+2(a+1)x+9a+4}{x^2+8x+32}< 0,\) \(∀x∈R\). Then, the number of elements in \(S\) is
- JEE Main - 2024
- Mathematics
- inequalities
- For the binary operation defined on \( \mathbb{R} - \{1\} \) such that: \[ a b = \frac{a}{b + 1} \] which of the following is true?
- VITEEE - 2023
- Mathematics
- inequalities
- If \[ \left| \frac{\sec(x - y)}{\sec(x + y)} \right| = a \] then \( \frac{dy}{dx} \) is:
- VITEEE - 2023
- Mathematics
- inequalities
- The sum of the series \[ \frac{1}{1 + \sqrt{2}} + \frac{1}{\sqrt{2} + \sqrt{3}} + \frac{1}{\sqrt{3} + \sqrt{4}} + \dots \] up to 15 terms is:
- VITEEE - 2023
- Mathematics
- inequalities
- The number of nonzero terms in the expansion of \[ (1 + 3\sqrt{2}x)^9 + (1 - 3\sqrt{2}x)^9 \] is:
- VITEEE - 2023
- Mathematics
- inequalities
View More Questions
Questions Asked in VITEEE exam
- The strongest acid among the following is:
- VITEEE - 2024
- coordination compounds
- The length of the perpendicular from the point \( (1, -2, 5) \) on the line passing through \( (1, 2, 4) \) and parallel to the line given by \( x + y - z = 0 \) and \( x - 2y + 3z - 5 = 0 \) is:
- VITEEE - 2024
- Differential equations
- If the roots of the quadratic equation \[ (a^2 + b^2) \, x^2 - 2 \, (bc + ad) \, x + (c^2 + d^2) = 0 \] are equal, then:
- VITEEE - 2024
- Quadratic Equations
- If \( A \) and \( B \) are the two real values of \( k \) for which the system of equations \( x + 2y + z = 1 \), \( x + 3y + 4z = k \), \( x + 5y + 10z = k^2 \) is consistent, then \( A + B = \): (a) 3
- VITEEE - 2024
- Binomial theorem
- A and B are independent events of a random experiment if and only if:
- VITEEE - 2024
- Relations and functions
View More Questions