Question

Tne length of the intercept made by parabola x^2 - 7x + 4y + 12 = 0 on x-axis is
(A) 4
(B) 3
(C) 1
D)2​

Answer 1

answer : option (C) 1

on x-axis (y = 0), equation of parabola is ....

x² - 7x + 4(0) + 12 = 0

⇒x² - 7x + 12 = 0

⇒x² - 4x - 3x + 12 = 0

⇒x(x - 4) - 3(x - 4) = 0

⇒(x - 3)(x - 4) = 0

⇒x = 3, 4

interception points of parabola on x-axis is (3, 0) and (4, 0).

now length of the intercept made by parabola is √{(4 - 3)² + (0-0)²} = 1

hence, option (C) is correct choice.

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Answer 2

Answer:

Option C ) 1

Step-by-step explanation:

Refer the image attached.