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JEE Main 2013

JEE Main 2013 Mathematics question on Definite Integrals and Areas

The intercepts on X-axis made by tangents to the curve, y=∫0x∣t∣ dt,x∈Ry = \int_0^x |t| \, dt, x \in R, which are parallel to the line y=2xy = 2x, are equal to
  1. A.
    ±1\pm 1
  2. B.
    ±2\pm 2
  3. C.
    ±3\pm 3
  4. D.
    ±4\pm 4
Show answer

Correct option: C

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