COMEDK · Maths · 12. Circle
The circle \(x^2+y^2+3 x-y+2=0\) cuts an intercept on \(X\)-axis of length
- A 2
- B 3
- C 1
- D 4
Answer & Solution
Correct Answer
(C) 1
Step-by-step Solution
Detailed explanation
The equation of the circle is \(x^2 + y^2 + 3x - y + 2 = 0\). To find the intercept on the \(X\)-axis, set \(y = 0\) in the equation of the circle: \(x^2 + 3x + 2 = 0\) Factor the quadratic equation: \((x + 1)(x + 2) = 0\) The roots are \(x_1 = -1\) and \(x_2 = -2\). These are…
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