Conic Sections — Class 11 Mathematics NCERT Solutions (Free)
Free step-by-step NCERT solutions for Class 11 Mathematics chapter "Conic Sections" — 8 important questions with detailed answers for CBSE board exam preparation.
TL;DR: Free step-by-step NCERT solutions for Class 11 Mathematics chapter "Conic Sections" — 8 important questions with detailed answers for CBSE board exam…
By Syllab.in · Updated
Key Questions Covered:
- Find the equation of the circle with center (2, -3) and radius 5.
- Find the center and radius of the circle x² + y² - 6x + 8y - 11 = 0.
- Find the equation of the parabola with vertex at origin and focus at (2, 0).
- + 5 more questions in the full chapter
Solutions Summary:
| Question | Status |
|---|---|
| Find the equation of the circle with center (2, -3) and r… | ✓ Solved |
| Find the center and radius of the circle x² + y² - 6x + 8… | ✓ Solved |
| Find the equation of the parabola with vertex at origin a… | ✓ Solved |
Showing 3 of 8 questions
Q1: Find the equation of the circle with center (2, -3) and radius 5.
Given: Center C(2, -3) and radius r = 5
Step 1: Use the standard form of circle equation:
(x - h)² + (y - k)² = r²
Step 2: Substitute h = 2, k = -3, r = 5:
(x - 2)² + (y - (-3))² = 5²
(x - 2)² + (y + 3)² = 25
Step 3: Expand the equation:
x² - 4x + 4 + y² + 6y + 9 = 25
x² + y² - 4x + 6y + 13 = 25
...
Q2: Find the center and radius of the circle x² + y² - 6x + 8y - 11 = 0.
Given circle equation: x² + y² - 6x + 8y - 11 = 0
Step 1: Rearrange:
x² - 6x + y² + 8y = 11
Step 2: Complete the square for x terms:
x² - 6x + 9 - 9 + y² + 8y = 11
(x - 3)² - 9 + y² + 8y = 11
Step 3: Complete the square for y terms:
(x - 3)² + y² + 8y + 16 - 16 = 11 + 9
(x - 3)² + (y + 4)² - 16 =...
Q3: Find the equation of the parabola with vertex at origin and focus at (2, 0).
Given: Vertex at origin (0, 0) and focus at (2, 0)
Step 1: Determine the orientation:
Focus is on the positive x-axis, so the parabola opens rightward.
Standard form: y² = 4ax
Step 2: Find the value of a:
Focus is at (a, 0), so a = 2
Step 3: Write the equation:
y² = 4(2)x
y² = 8x
Step 4: Verify:...
Showing 3 of 8 questions. Visit the full page for complete solutions.