Mathematics - Class X Question Paper - Central Board Of Secondary Education Page 21
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33Q16. AB is a diameter of a circle with
centre O and chord CD is equal to
radius of the circle. AC and BD are
produced to meet at P. Prove that ∠CPD = 60°.
Q17. A circus tent is in the shape of a cylinder surmounted by a cone. The diameter of the
cylindrical part is 24m and its height is 11 m. If the vertex of the tent is 16m above the
ground, find the area of canvas required
to make the tent.
Q18. Prove that :
tanθ
cotθ
+
= 1 + secθ cosecθ
1—cotθ
1—tanθ
OR
Evaluate :
sin39°
+ 2tan 11° tan 31° tan 45° tan59°. tan79° —3 (sin²21° + sin²69°)
cos 51°
Q19. Find a point on the x-axis which is equidistant from the points (7, 6) and (—3, 4)
Q20. Three consecutive vertices of a parallelogram ABCD are A(1, 2), B(1, 0) and
C (4, 0). Find the fourth vertex D.
OR
If A (4, -8), B (-9, 7) and C (18, 13) are the vertices of a triangle ABC, find the length
of the median through A and coordinates of centroid of the triangle.
SECTION C
Q21. The number of hours spent by a school boy on various activities on a working day are
given below :
Activity
Number of Hours
Sleep
7
School
8
Homework
4
Play
3
Others
2
Present the above information by a pie-chart.
156
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