Question:
The real variables x, y, z, and the real constants p, q, r satisfy.
\( \frac{x}{pq-r^2} = \frac{y}{qr-p^2} = \frac{ z}{rp - q^2}\)
Given that the denominators are non-zero, the value of \(px +qy+rz\) is
The real variables x, y, z, and the real constants p, q, r satisfy.
\( \frac{x}{pq-r^2} = \frac{y}{qr-p^2} = \frac{ z}{rp - q^2}\)
Given that the denominators are non-zero, the value of \(px +qy+rz\) is
\( \frac{x}{pq-r^2} = \frac{y}{qr-p^2} = \frac{ z}{rp - q^2}\)
Given that the denominators are non-zero, the value of \(px +qy+rz\) is
Updated On: Jan 24, 2025
- 0
- 1
- pqr
- \(p^2 + q^2 + r^2\)
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
The correct answer is (A) : 0
Was this answer helpful?
1
0
Top Questions on Numerical Computation
Questions Asked in GATE CE exam
- Consider the function given below and pick one or more CORRECT statement(s) from the following choices.
\[ f(x) = x^3 - \frac{15}{2} x^2 + 18x + 20 \]- GATE CE - 2025
- Determinants
- An electricity utility company charges ₹7 per kWh. If a 40-watt desk light is left on for 10 hours each night for 180 days, what would be the cost of energy consumption? If the desk light is on for 2 more hours each night for the 180 days, what would be the percentage-increase in the cost of energy consumption?
- GATE CE - 2025
- Logical and Analytical Reasoning Skills
- During determination of the bulk specific gravity of compacted bituminous specimen, the mass in air of the specimen is 1260 g and volume is 525 cm³. The density of water is 1.0 g/cm³. The theoretical maximum specific gravity of mix is 2.510. The percentage air voids in the compacted specimen is ......... (rounded off to 2 decimal places).
- GATE CE - 2025
- Gravity Dams and Spillways
In levelling between two points A and B on the opposite banks of a river, the readings are taken by setting the instrument both at A and B, as shown in the table. If the RL of A is 150.000 m, the RL of B (in m) is ....... (rounded off to 3 decimal places).
- GATE CE - 2025
- Surveying and Levelling
A one-way, single lane road has traffic that consists of 30% trucks and 70% cars. The speed of trucks (in km/h) is a uniform random variable on the interval (30, 60), and the speed of cars (in km/h) is a uniform random variable on the interval (40, 80). The speed limit on the road is 50 km/h. The percentage of vehicles that exceed the speed limit is ........ (rounded off to 1 decimal place).
- GATE CE - 2025
- Traffic signs
View More Questions