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Question 1
Two circles have radius 5 cm and 8 cm. And the distance between the center of two circles is 15 cm. Find the length of direct common tangent of circles:
Question 2
AB is the diameter of a circle with centre O and P be a point on its circumference. If then the value of is
Question 3
In the given figure, O is the centre of the circle. If AOC = 90 °, find ABC
Question 4
In a triangle ABC, BC is produced to D so that CD = AC. If ∠BAD = 111° and ∠ACB = 80° then the measure of ∠ABC is:
Question 5
Dodecahedron has 12 faces and 20 vertices . How many edges does it have?
Question 6
A regular polygon has 54 diagonals. Another regular Polygon has an interior angle of 156 °. What is the ratio of the number of sides of the 1st polygon to the 2nd polygon?
Question 7
A rectangle is such that the ratio of the length and breadth is 3:2. Find the area of the rectangle if on increasing the length and breadth by 4 metres, the ratio becomes 10:7 (in m2)
Question 8
The angles of a quadrilateral are in the ratio of 4:6:7:1 and two angles of a triangle are in the ratio of 3:2. The third angle of a triangle is equal to second largest angle of quadrilateral. Find the sum of largest and smallest angle of triangle.
Question 9
The side of an equilateral triangle ABC is 24 cm. If G is the centroid of an equilateral triangle, then find the length of AG.
Question 10
In case of an acute angled triangle, its ortho centre lies:
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Jun 30SSC & Railway