Question:
If \( a, b, c \) are non-zero, then the number of solutions of \[\frac{2x^2}{a^2} - \frac{y^2}{b^2} - \frac{z^2}{c^2} = 0,\]\[-\frac{x^2}{a^2} + \frac{2y^2}{b^2} - \frac{z^2}{c^2} = 0\]is:
If \( a, b, c \) are non-zero, then the number of solutions of \[\frac{2x^2}{a^2} - \frac{y^2}{b^2} - \frac{z^2}{c^2} = 0,\]\[-\frac{x^2}{a^2} + \frac{2y^2}{b^2} - \frac{z^2}{c^2} = 0\]is:
Updated On: June 02, 2025
- 6
- 8
- 9
- infinite
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
The correct option is (D):infinite
Was this answer helpful?
0
0
Top Questions on Algebra
- The ratio of ages of Rahul and Neha is 3:4. After 5 years, the ratio becomes 4:5. What are their current ages?
- Five machines at a certain factory operate at the same constant rate. If four of these machines, operating simultaneously, take 30 hours to fill a certain production order, how many fewer hours does it take all five machines, operating simultaneously, to fill the same production order?
- If \( x + y = 2 \) and \( x^2 + y^2 = 2 \), what is the value of \( xy \)?
- Each machine at a toy factory assembles a certain kind of toy at a constant rate of one toy every 3 minutes. If 40 percent of the machines at the factory are to be replaced by new machines that assemble this kind of toy at a constant rate of one toy every 2 minutes, what will be the percent increase in the number of toys assembled in one hour by all the machines at the factory, working at their constant rates?
- The age ratio of two friends is 4:5. The difference in their ages is 6 years. What is the age of the younger friend?
View More Questions
Questions Asked in NATA exam
What is the angle between the hour and minute hands at 4:30?
- NATA - 2025
- Clock and Calendar
Mantri Mandir -- Where is it located?
- NATA - 2025
- Architectural Knowledge
- What is the name of the 4th gate of Kashi Vishwanath Temple?
- NATA - 2025
- Architectural Knowledge
What architectural structure balances the bridge weight? (Refer to the image of a truss bridge)
- NATA - 2025
- Architectural Knowledge
Find the elevation from the given image?
- NATA - 2025
- Architectural Knowledge
View More Questions
