Directions: Read the following information to answer the question.
The following function are defined for any two, distinct, non-zero integers X and Y.
f ( X, Y) = |X| x Y2
g (X, Y) = X2 x |Y|
h (X, Y) = (X2 + Y2)/2
j (X, Y) = X/2 + Y/2
Which of the following gives you (X + Y)2?
Directions: Read the following information to answer the question.
y = mx + c
m = c
⇒ y = mx + m
⇒ -5 = -3m + m
⇒ m = 5/2
y = 5/2x + 5/2
⇒ 2y = 5x + 5
⇒ 2y – 5x = 5
Directions: Read the following information to answer the question.
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Y = sin |x| satisfies the given graph. If x = 0, y = 0 If x = π/2, y = 1 If x = π, y = 0 If x = π/2, y = sin |-π/2| = sin π/2 = 1 If x = π, y = sin |-π| = 0 If x = 3π/2, y = sin |-3π/2| = -1 |
Directions: Read the following information to answer the question.
Required area is the area of shaded portion i.e., sum of the areas of triangles, each having base of one unit and height one unit.
i.e. 5 x ½ x 1 x 1 = 5/2 = 2.5 sq. units
Directions: Read the following information to answer the question.
How many times do the two curves given below intersect above the x-axis?
y = 2x4 + x3 + x
y = x4 + x3 + 5x2 + x – 4
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Solving 2x4 + x3 + x = x4 + x3 + 5x2 + x –4 x4 – 5x2 + 4 = 0 ⇒ (x2 – 1) (x2 – 4) = 0 ⇒ X = ± 1, ±2. Now checking for y > 0, only for x = 1, y = 0 ⇒ Three times the curves intersect above the x – axis. |