If sec 4A = cosec (A + $20^o$), where 4A is an acute angle, find the value of A
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2 .
A person standing on the bank of a river observes that the angle of elevation of the top of a tree standing on the opposite bank is $60^o$. When he moves 30 metres away from the bank, he finds the angle of elevation to be $30^o$. Find the height of the tree
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3 .
AB and CD are two parallel chords of a circle whose centre is O and radius is 13 cm. If AB = 24 cm and CD = 10 cm, find the distance between AB and CD, if they lie on the same side of the centre O
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4 .
An exterior angle of a triangle is $105^o$and one of the interior angles is $45^o$, find the other two angles of the triangle
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5 .
Point M divides the line segment joining the points A (-1, 3) and B (9, 8) such that $AM \over BM$ = $k \over1$ . If M lies on the line x - y + 2 = 0, find the value of K
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6 .
If P (5, -1), Q (-3, -2) and R (-1, 8) are vertices of triangle PQR, find the length of the median through P and the co-ordinates of the centroid
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7 .
Given that sin (A + B) = sinA.cosB+cosA.sinB, find the value of sin $105^o$
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8 .
Find the value of
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9 .
If each interior angle of a regular polygon is 8 times its exterior angle then the number of sides of the polygon is
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10 .
In the following figure, MP = 8 cm, PD = 4 cm and CD = 3 cm. Find the length of MN
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