Basic MathematicsGeometry (KVPY (Kishore Vaigyanik Protsahan Yojana) StreamSA (Class 11) Math): Questions 40  45 of 64
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Question number: 40
» Basic Mathematics » Geometry » Triangle and Properties
Question
In a right triangle ABC, the incircle touches the hypotenuse AC at D. If AD = 2 and DC = 3, the inradius of ABC is,
Choices
Choice (4)  Response  

a.  1 

b.  2 

c.  3 

d.  4 

Question number: 41
» Basic Mathematics » Geometry » Polygons With More Than 4 Sides
Question
A triangular corner is cut from a rectangular piece of board and the resulting pentagon has sides 5,6, 12,15, in some order. The area of the rectangle is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  148.5 

Question number: 42
» Basic Mathematics » Geometry » Triangle and Properties
Question
If sides of the triangle ABC are, and , also ∠C = 60^{0}, then other two angles are,
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 43
» Basic Mathematics » Geometry » Circle and Properties
Question
In the given figure, ∠NPM = 31^{0} and ∠PMN = 64^{0} then ∠POM is equal to –
Choices
Choice (4)  Response  

a.  85^{0} 

b.  80^{0} 

c.  62^{0} 

d.  70^{0} 

Question number: 44
» Basic Mathematics » Geometry » Circle and Properties
Question
The lengths of two parallel chords of a circle are 24 cm and 10 cm. If the smaller chord is at distance 12 cm from the centre, then the distance of the other chord from the centre is –
Choices
Choice (4)  Response  

a.  9 

b.  12 

c.  5 

d.  10 

Question number: 45
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Question
In the given figure, ABC is an equilateral triangle whose side is 6 cm. A circle is drawn which passes through the midpoints D, E and F of its sides. The area of the shaded region is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

