JEE, NEET, Foundation & CBSE (JEE Advanced 2018

The following statement (p → q ) → [(~p → q) → q] is :
  1. A fallacy
  2. A tautology
  3. Equivalent to ~p → q
  4. Equivalent to p → ~q
The area (in sq. units) of the region {(x, y} : x ≥ 0, x + y ≤ 3, x² ≤ 4y and y ≤ 1 + √x} is :
  1. 3/2
  2. 5/2
  3. 7/3
  4. 59/12
If the image of the point P(1,–2,3)in the plane,2x+3y–4z+22=0 measured parallel to the line, (𝓍/𝟭)=(𝑦/4)=(𝓏/5)is Q, then PQ is equal to :
  1. 2√42
  2. √42
  3. 6√5
  4. 3√5
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