All India Engineering / Architecture Entrance Examination (AIEEE)
CBSE Guess > AIEEE > AIEEE Papers > 2007 > Mathematics
AIEEE 2007 Mathematics
Q. 26. A particle just clears a wall of height b at a distance a and strikes the ground at a distance c from the point of projection. The angle of projection is
Sol:
Correct choice: (3)
Q. 27. The average marks of boys in a class is 52 and that of girls is 42. The average marks of boys and girls combined is 50. The percentage of boys in the class is
- 40
- 20
- 80
- 60
Sol: Let there are x boys and y girls in the class. So, total marks are
52 x + 42 y and according to second condition total marks = (x + y) 50
Now, 
So percentage of boys is 80.
Correct choice: (3)
Q. 28. The equation of a tangent to the parabola 
The point on this line from which the other tangent to the parabola is perpendicular to the given tangent is
- (- 1, 1)
- (0, 2)
- (2, 4)
- (- 2, 0)
Sol: Point of intersection of two perpendicular tangents to the parabola lies on directrix of the parabola. Equation of directrix is x + 2 = 0
So point is (- 2, 0) Correct choice: (4)