Match the LIST-I with LIST-II LIST-I (Quadric surfaces) LIST-II (Equation) A.…
2026
Match the LIST-I with LIST-II
LIST-I (Quadric surfaces) | LIST-II (Equation) |
A. One-sheeted hyperboloid | I. x2/a2 + y2/b2 = cz |
B. Two-sheeted hyperboloid | II. x2/a2 + y2/b2 - z2/c2 = 1 |
C. Elliptic paraboloid | III. x2/a2 - y2/b2 = cz |
D. Hyperbolic paraboloid | IV. z2/c2 - x2/a2 - y2/b2 = 1 |
Choose the correct answer from the options given below:
A-I, B-II, C-III, D-IV
A-II, B-III, C-IV, D-I
A-II, B-IV, C-I, D-III
A-IV, B-II, C-I, D-III
Answer: C. 3 — To solve this, recall the standard forms of quadric surfaces. A one-sheeted hyperboloid has two positive squared terms and one negative, equal to 1 (x²/a² +…
- A.
1
- B.
2
- C.
3
- D.
4
Attempted by 10 students.
Show answer & explanation
Correct answer: C
To solve this, recall the standard forms of quadric surfaces. A one-sheeted hyperboloid has two positive squared terms and one negative, equal to 1 (x²/a² + y²/b² - z²/c² = 1), matching A-II. A two-sheeted hyperboloid has one positive squared term and two negative, equal to 1 (-x²/a² - y²/b² + z²/c² = 1), matching B-IV. An elliptic paraboloid has one linear variable and two positive squared terms (x²/a² + y²/b² = cz), matching C-I. A hyperbolic paraboloid has one linear variable and two squared terms with opposite signs (x²/a² - y²/b² = cz), matching D-III. Thus, the correct pairing is A-II, B-IV, C-I, D-III.