Question
In the question, two quantities I and II are given. You
have to solve both the quantities to establish the correct relation between Quantity-I and Quantity-II and choose the correct option. I. 2x2 + 7x + k = 0 II. (ay + b)2 = 0 Find the value of “k”. When it is given that: 1. Larger roots of equation I is equal to larger root of equation II. 2. Smaller root of equation I is -2.Solution
From condition 2, we will put the value of x = -2 in equation I, 2x2 + 7x + k = 0 => 2 × (-2)2 + 7 × - 2 + k = 0 => 8 – 17 + k = 0 => k = 6
Solve for x in the equation: 3(x + 2) + 2(2x - 5) = 5x + 9
If x = 19, then the value of x5 - 20x4 + 20x3 - 20x2 + 20x - 1 is
Given a triangle with two sides measuring 12 cm and 16 cm, which of the following cannot be a possible length for the third side?
The mean age of 30 students was calculated as 15 years. However, it was later discovered that one student's age was mistakenly entered as 15 years inste...
In a triangle ABC, a point D lies on AB and points E and F lie on BC such that DF is parallel to AC and DE is parallel to AF. If BE = 4 cm. EF = 6cm. th...
If a = 32, b = c = 31, then find the value of a 3 + b 3 + c 3 – 3abc.
If x3 + y3 = 9 and x + y=3 then the value of x4 + y4 is:
105, 111, 123, 141, ?, 195
Let {x + (1/x)} = 4, then Determine the value of {x² + (1/x²)}
