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Quadratic Equation and Inequalities question

2025 · 3 Apr · Shift 2 · Q35
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  5. /2025 · 3 Apr · Shift 2 · Q35

Quadratic Equation and Inequalities question

2025 · 3 Apr · Shift 2 · Q35

JEE MainMathematicsQuadratic Equation and InequalitiesMCQ+4 / −1
Let the equation x(x+2)(12−k)=2x(x+2)(12-k)=2x(x+2)(12−k)=2 have equal roots. Then the distance of the point (k,k2)\left(k, \frac{k}{2}\right)(k,2k​) from the line 3x+4y+5=03 x+4 y+5=03x+4y+5=0 is
  1. A
    15
  2. B
    12
  3. C
    535 \sqrt{3}53​
  4. D
    15515 \sqrt{5}155​
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