KVPY StreamSA (Class 11) Math: Questions 201  205 of 265
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Question number: 201
» Basic Mathematics » Arithmetic » Rates, Speeds and Unitary Method
Question
A ladder 8 cm long is leading against a wall. The bottom of the ladder is pulled along the ground, away from the wall, at the rate of 2 cm/sec. How fast is its height on the wall decreasing when the foot of the ladder is 3 cm away from the wall?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 202
» Complex Numbers and Quadratic Equations » Formation of Quadratic Equations With Given Roots
Question
If α, β are the roots of then that equation whose roots are is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  None of the above 

Question number: 203
» Basic Mathematics » Arithmetic » Number Games
Question
Consider an incomplete pyramid of balls on a square base having 15 layers; and having 10 balls on each side of the top layer. Then the total number N of balls in that pyramid satisfies
Choices
Choice (4)  Response  

a.  60000 < N < 7000 

b.  4000 < N < 5000 

c.  5000 < N < 6000 

d.  3000 < N < 40000 

Question number: 204
» Trigonometry » Trigonometric Identities and Equations
Question
In triangle ABC, value of is –
Choices
Choice (4)  Response  

a.  Sin B 

b.  1 

c.  Cos B 

d.  1 

Question number: 205
» Sets, Relations and Functions » Types of Relations
Question
Which of the following statements are true –
(i) If then
(ii) If then
(iii) If then
(iv) If then
Select the correct option from given above:
Choices
Choice (4)  Response  

a.  (i) & (ii) are correct 

b.  (i), (ii) & (iii) are correct 

c.  (ii) & (iii) are correct 

d.  (i) & (iv) are correct 
