KVPY Stream SBSX (Class 12 & 1st Year BSC) Math: Questions 14  17 of 172
Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 172 questions. Access all new questions we will add tracking exampattern and syllabus changes. View Sample Explanation or View Features.
Rs. 150.00 or
Question number: 14
» Basic Mathematics » Arithmetic » Simplifying Expressions
Appeared in Year: 2010
Question
Let be a continuous function satisfying , for all . Then the number of elements in set is –
Choices
Choice (4)  Response  

a.  2 

b.  1 

c.  4 

d.  3 

Question number: 15
» Coordinate Geometry » Section Formula
Appeared in Year: 2010
Question
The following figure shows the graph of a continuous function y = f (x) on the interval [1, 3]. The points A, B, C have coordinates (1, 1), (3, 2), (2, 3) respectively, and the lines L_{1} and L_{2} are parallel, with L_{1} being tangent to the curve at C. If the area under the graph of y = f (x) from x = 1 to x = 3 is 4 square units, then the area of the shaded region is
Choices
Choice (4)  Response  

a.  4 

b.  3 

c.  5 

d.  2 

Question number: 16
» Permutations and Combinations » Simple Applications
Appeared in Year: 2010
Question
Three vertices are chosen randomly from the seven vertices of a regular 7sided polygon. The probability that they form the vertices of an isosceles triangle is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 17
» Coordinate Geometry » Intercepts of a Line on Coordinate Axes
Appeared in Year: 2010
Question
A circle touches the parabola y^{2} = 4x at (1, 2) and also touches its directrix. The ycoordinates of the point of contact of the circle and the directrix is –
Choices
Choice (4)  Response  

a.  4 

b.  3 

c. 


d. 

