A real number M is squared to give the value N. What is the minimum value of (M + N)?
0
If M is squared to give N, the minimum value of (M + N) occurs when M = 0, giving a value of 0. Hence, the correct answer is (c) 0.
Let x, y, z be variables such that (x + y + z) = k, where k is a constant. If (x + z - y) × (x - z + y) is proportional to yz, then (y + z - x) is proportional to:
Consider a 2-digit number N. Let P be the product of the digits of the number. If P is added to square of the digit in the tens place of N, we get 84. If P is added to the square of the digit in the unit place of N, we get 60. What is the value of P + N?
Given that 100ⁿ/100! × 99 × 98 × ... × 3 × 2 × 1 is an integer. What is the largest value of n for which this is true?
If x, y, z are real numbers such that x + y + z = 10 and xy + yz + zx = 18, then what is the value of x³ + y³ + z³ - 3xyz?
Which of the following is/are the factor(s) of \((3x + y)^2 + (3x+y)(x+5y)-20(x+5y)^2\)?
I. \((4x+13y)\)
II. \((x + 19y)\)
Select the correct answer using the code given below.
What is
\(\frac{\frac{x}{x-y}+\frac{y}{y-z}+\frac{z}{z-x}} {\frac{x+y}{x-y}+\frac{y+z}{y-z}+\frac{z+x}{z-x}+3}\)equal to?
In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.
I. x2 – 26x + 165 = 0
II. y2 – 38y + 357 = 0
Factorize the following:
(x 2- 6xy + 9y 2) - 25
If P and Q are the points on the line Joining A(-2, 5) and B(3, 1) such that
AP = PQ = QB, then the mid point of PQ is
If a number and its reciprocal added it becomes 6, then what will be sum of its square and square of its reciprocal?
If 3x + 2y = 15, and xy = 6. Find the value of (3x3/2) + (4y3/9).