The graph of the equation 13x – 3y = 13 intersect x-axis at point P(

1.	The graph of the equation 13x – 3y = 13 intersect x-axis at point P(a, b) and the equation of 7x – 11y = 22 intersect y-axis at point Q(c, d). Find the value of a + b2 + c3 + d4 ?1. 16 2. 153. 174. 18
Answer» Correct Answer - Option 3 : 17 Given: The two given equations are 13x – 3y = 13 and 7x – 11y = 22. Calculation: The equation 13x – 3y = 13 intersect x-axis when y = 0 ⇒ 13x – 0 = 13, x = 1 Point P will be (1, 0) = (a, b) ----(1) Now the equation 7x – 11y = 22 intersect y-axis when x = 0 ⇒ 7× 0 – 11y = 22, y = -2 Point Q will be (0, -2) = (c, d) ----(2) From (1) & (2) we get a, b, c, d = 1, 0, 0, -2 ⇒ a + b² + c³ + d⁴= 1 + 0 + 0 + 2⁴ = 1 + 16 ∴ The value is 17.

The graph of the equation 13x – 3y = 13 intersect x-axis at point P(a, b) and the equation of 7x – 11y = 22 intersect y-axis at point Q(c, d). Find the value of a + b2 + c3 + d4 ?1. 16 2. 153. 174. 18

Answer» Correct Answer - Option 3 : 17

Given:

The two given equations are 13x – 3y = 13 and 7x – 11y = 22.

Calculation:

The equation 13x – 3y = 13 intersect x-axis when y = 0

⇒ 13x – 0 = 13, x = 1

Point P will be (1, 0) = (a, b) ----(1)

Now the equation 7x – 11y = 22 intersect y-axis when x = 0

⇒ 7× 0 – 11y = 22, y = -2

Point Q will be (0, -2) = (c, d) ----(2)

From (1) & (2) we get a, b, c, d = 1, 0, 0, -2

⇒ a + b² + c³ + d⁴= 1 + 0 + 0 + 2⁴ = 1 + 16

∴ The value is 17.