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Tips and Tricks: Circles (Part-2) Video Lecture | Quantitative Aptitude for SSC CGL

FAQs on Tips and Tricks: Circles (Part-2) Video Lecture - Quantitative Aptitude for SSC CGL

1. What is the equation of a circle in the standard form?

Ans. The equation of a circle in the standard form is (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center of the circle and r is the radius.

2. How do you find the center and radius of a circle given its equation in the standard form?

Ans. To find the center and radius of a circle given its equation in standard form, compare the equation to (x - h)^2 + (y - k)^2 = r^2. The values of h and k are the coordinates of the center, and the square root of r^2 gives the radius.

3. What is the relationship between the diameter and radius of a circle?

Ans. The diameter of a circle is always twice the length of the radius. In other words, diameter = 2 * radius.

4. How do you find the equation of a circle with the center and a point on the circle given?

Ans. To find the equation of a circle with the center (h, k) and a point (x1, y1) on the circle, use the formula (x - h)^2 + (y - k)^2 = (x1 - h)^2 + (y1 - k)^2.

5. How can you determine if a point lies inside, outside, or on a circle?

Ans. To determine if a point lies inside, outside, or on a circle, substitute the point's coordinates into the equation of the circle. If the value is less than the radius squared, the point is inside the circle. If it is greater, the point is outside. If it is equal, the point lies on the circle.

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Sep 10, 2025 Last updated

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	Quantitative Aptitude for SSC CGL 342 videos\|309 docs\|185 tests

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342 videos|309 docs|185 tests

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