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Question 1
is a right triangle such that 
P and Q are the mid points of AB and BC respectively. Then which of the following is/are true? I.
II.
III.
IV.
Question 2
AC is the diameter of the circum-circle of the cyclic quadrilateral ABCD. If 
BDC = 420, then what is 
ACB equal to?
BDC = 420, then what is ACB equal to? Question 3
Two poles are placed at P and Q on either side of a road such that the line joining P and Q is perpendicular to the length of the road. A person moves x metre away from P parallel to the road and places another pole at R. Then the person moves further x metre in the same direction and turns and moves a distance y metre away from the road perpendicularly, where he finds himself, Q and R on the same line. The distance between P and Q (i.e., the width of the road) in metre is
Question 4
Let the triangles ABC and DEF be such that 
and 
Let L be the midpoint of BC and M be the midpoint of EF. Consider the following statements :
Statement I :
Triangles ABL and DEM are similar.
Statement II :
Triangle ALC is congruent to triangle DMF even if
Which one of the following is correct in respect of the above statements?
and Let L be the midpoint of BC and M be the midpoint of EF. Consider the following statements : Statement I :
Triangles ABL and DEM are similar.
Statement II :
Triangle ALC is congruent to triangle DMF even if
Which one of the following is correct in respect of the above statements?
Question 5
Segment QR of length r is a tangent at Q to a circle of radius r with centre at P. What is the area of the part of the triangle PQR, which is outside the circular region?
Question 6
An arc of a circle subtends an angle 
at the centre. If the length of the arc is 22 cm, then what is the radius of the circle?
(Take
)
at the centre. If the length of the arc is 22 cm, then what is the radius of the circle? (Take
) Question 7
Consider the following statements in respect of an equailateral triangle :
1). The altitudes are congruent.
2). The three medians are congruent.
3). The centroid biscets the altitude.
Which of the above statements are correct?
1). The altitudes are congruent.
2). The three medians are congruent.
3). The centroid biscets the altitude.
Which of the above statements are correct?
Question 8
If the diagonals of a rhombus are 4.8 cm and 1.4 cm. then what is the perimeter of the rhombus?
Question 9
ABC is a triangle right angled at A and a perpendicular AD is drawn on the hypotenuse BC. What is BC.AD equal to?
Question 10
From an external point P tangents PA and PB are drawn to the circle as shown in the above figure. CD is the tangent to the circle at E. If AP = 16 cm, then the perimeter f the triangle PCD is equal to
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Apr 28CDS & Defence
