Question
Statements: E ≤ A > J ≥ L; Y > J < D
Conclusions: I. D > L II. A > L In the following questions assuming the given statements to be true, find which of the conclusion among given conclusions is/are definitely true and then give your answers accordingly.Solution
Given: E ≤ A > J ≥ L; Y > J < D On combining: E ≤ A > J < D; J ≥ L, J < Y I. D > L - True (J < D; J ≥ L) II. A > L - True (A > J ≥ L) Hence, the conclusions I & II follows.
I. 35x² - 51x + 18 = 0
II. 30y² + 17y – 21 = 0
If α, β are the roots of the equation x² – px + q = 0, then the value of α2+β2+2αβ is
...I. 2x2 - 9 x + 9 = 0
II. 2y2 - 7 y + 3 = 0
I. 2y² - 3y – 14 = 0
II. 3x² - 7x + 4 = 0
I: x² - 10x + 21 = 0
II: 4y² - 16y + 15 = 0
If x² + 2x + 9 = (x – 2) (x – 3), then the resultant equation is:
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 41x + 400 = 0
Equation 2: y² - 41y + 420 = 0
The equation q2 - 17x + C = 0, has two roots ‘x’ and ‘y’ such that (x – y) = 7. Find an equation which is equal to thrice of the gi...
1.3wx = 40 – wy
2. b2 = 2b + p
3. d2 + d = q
Now, observe the given conditions:
One root of equation...
(i) 2x² – 12x + 16 = 0
(ii) 2y² – 20y + 48 = 0