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CDS || Mathematics || Geometry || 08-03-2019

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Question 1

ABC is a equilateral triangle. O is the point of intersection of altitudes AL, BM and CN. If OA = 16 cm, then what is the semi-perimeter (in cm) of the triangle ABC?

Question 2

A chord AB of circle of radius cm touches a circle which is concentric to  at a single point. If the radius of is cm. The length of AB is:

Question 3

Point P is the midpoint of segment AB. Co-ordinates of point P are (2,1) and point A are (11,5). Co-ordinates of point B are

Question 4

ABC is a right angled triangle. B being the right angle. Midpoints of BC and AC are respectively B' and A'. Area of ∆A'B'C' is

Question 5

In a triangle the length of the side opposite the angle which measures 45 ° is 8 cm, what is the length of the side opposite to the angle which measures 90 °?

Question 6

O is the centre of a circle. AB is a chord of the circle but not its diameter. OC is perpendicular to AB. if OC = CB and radius of the circle be 7 cm, then the length of AB is

Question 7

In triangle PQR, the sides PQ and PR are produced to A and B respectively. The bisectors of AQR and BRQ intersect at point O. If QOR = 50°, then what is the value (in degrees) of QPR?

Question 8

ΔABC is right angled at B BD is the altitude. AD is 18 cm and DC is 50 cm. Find length of BD?

Question 9

There are two identical circles of radius 10 cm each. If the length of the direct common tangent is 26 cm, then what is the length (in cm) of the transverse common tangent?

Question 10

In the following triangle ΔPQR if PD ⊥ RQ & PE is Bisector of RPQ then find the angle PEQ = ?
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