Mathematics - Class X Question Paper - Central Board Of Secondary Education Page 6
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33OR
Without using trigonometric tables, evaluate :
cos 35°
tan 27° tan 63°
+
-3tan² 60°
sin 55°
sin 30°
Q16. Show that the points (7, 10), (-2, 5) and (3, -4) are the vertices of an isosceles right
triangle.
OR
Using distance formula, show that the points (-1, -1), (2, 3) and (8, 11) are collinear.
Q17. Find the ratio in which the point (-3, p) divides the line segment joining the points
(-5, -4) and (-2, 3). Hence find the value of p.
Q18. Compute the missing frequencies 'f
' and 'f
' in the following data if the mean is
1
2
9
166
and the sum of observations is 52.
26
Classes
140-150 150-160 160-170 170-180 180-190 190-200 sum
Frequency
5
f
20
f
6
2
=52
1
2
Q19. An unbiased dice is tossed
i) Write the sample space of the experiment
ii) Find the probability of getting a number greater than 4
iii) Find the probability of getting a prime number.
Q20. The pie chart (as shown in the
figure) represents the amount
spent on different sports by a
sports club in a year. If the
total money spent by the
club on sports is Rs. 1,08,000/-,
find the amount spent on each sport.
141
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