Exam Details
| Subject | Mathematics-I | |
| Paper | ||
| Exam / Course | Diploma in Civil Engineering (DCLE) | |
| Department | School of Engineering & Technology (SOET) | |
| Organization | indira gandhi national open university | |
| Position | ||
| Exam Date | June, 2016 | |
| City, State | new delhi, |
Question Paper
1. Answer any seven of the following:
Verify that 4sqrt(6) is a surd.
If log10 2 =0.30103, evaluate log 10 (1000/256)
Find the root of the equation -30 5x) -216 0.
Find the 9th term of the sequence
18,
Find the sum of 19 terms of an A.P. whose nth term is 2n +1.
What is the meaning of the following box in a flow chart
<img src='./qimages/7539-1f.jpg'>
Prove that
(sin e/1-cos (tan e/1+cos =sec e cosec e cot e
Determine the equation of a line with slope 4 and intercept 2.
Find the distance between the line 3x-4y 8 0 and the point 1).
Which of the following is a scalar quantity?
Displacement
Kinetic energy
Velocity
Momentum
In a right...angled triangle, the difference between two acute angles is Tri9 in circular measure. Find the angle in degrees.
Prove that sin 2A= 2 sin A cos A 2 tan A l+tan^2 A
A person standing on the bank of a river observes that the angle subtented by a tree on the opposite bank is 60°. When he moves away 100 m from the bank, he finds the angle to be 30°. Find the height of the tree and breadth of the river.
Find the sum of 50 terms of the sequence 7·7, 7·77, 7·777, ...
Expand
<img src='./qimages/7539-43.jpg'>
Find the sum of the series
81/32
Determine the equation of a line passing through the point and with slope 4/7.
Find the equation of a line perpendicular to the line 3x -4y 7 and passing through the point 2).
Find the equation of a line which has a perpendicular segment of length 4 from the origin and the inclination of the perpendicular segment with positive
direction of x-axis is 30°.
Determine the equation of a circle, if its centre is and which passes through the point
Find the equation of the tangent to the circle 9 which is parallel to 3x 4y 0.
Find the equation of a parabola whose focus is and the directrix is 3x 4y 1.
Show that the sum of three vectors determined by the medians of a triangle directed from the vertices is zero.
Find the projection of on the line of if i j k and b=2i +4j +5k.
Show that the vectors A i j and B i -10 j are parallel to each other.
Verify that 4sqrt(6) is a surd.
If log10 2 =0.30103, evaluate log 10 (1000/256)
Find the root of the equation -30 5x) -216 0.
Find the 9th term of the sequence
18,
Find the sum of 19 terms of an A.P. whose nth term is 2n +1.
What is the meaning of the following box in a flow chart
<img src='./qimages/7539-1f.jpg'>
Prove that
(sin e/1-cos (tan e/1+cos =sec e cosec e cot e
Determine the equation of a line with slope 4 and intercept 2.
Find the distance between the line 3x-4y 8 0 and the point 1).
Which of the following is a scalar quantity?
Displacement
Kinetic energy
Velocity
Momentum
In a right...angled triangle, the difference between two acute angles is Tri9 in circular measure. Find the angle in degrees.
Prove that sin 2A= 2 sin A cos A 2 tan A l+tan^2 A
A person standing on the bank of a river observes that the angle subtented by a tree on the opposite bank is 60°. When he moves away 100 m from the bank, he finds the angle to be 30°. Find the height of the tree and breadth of the river.
Find the sum of 50 terms of the sequence 7·7, 7·77, 7·777, ...
Expand
<img src='./qimages/7539-43.jpg'>
Find the sum of the series
81/32
Determine the equation of a line passing through the point and with slope 4/7.
Find the equation of a line perpendicular to the line 3x -4y 7 and passing through the point 2).
Find the equation of a line which has a perpendicular segment of length 4 from the origin and the inclination of the perpendicular segment with positive
direction of x-axis is 30°.
Determine the equation of a circle, if its centre is and which passes through the point
Find the equation of the tangent to the circle 9 which is parallel to 3x 4y 0.
Find the equation of a parabola whose focus is and the directrix is 3x 4y 1.
Show that the sum of three vectors determined by the medians of a triangle directed from the vertices is zero.
Find the projection of on the line of if i j k and b=2i +4j +5k.
Show that the vectors A i j and B i -10 j are parallel to each other.
Other Question Papers
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