NDA (National Defense Academy) Mathematics: Questions 151  158 of 384
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Question number: 151
» Differential Calculus » Continuity of Functions
Appeared in Year: 2012
Question
If and there exists point in the interval such that then what is the value of
Choices
Choice (4)  Response  

a.  2.8  
b.  3.5  
c.  2.5  
d.  3 
Question number: 152
» Differential Calculus » Concept of a Real Valued Function » Domain
Appeared in Year: 2012
Question
Which one of the following function is differentiable for all real values of
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 153
» Differential Calculus » Algebraic Operations on Continuous Functions
Question
How many tangents are parallel to for the curve
Choices
Choice (4)  Response  

a.  3  
b.  No Tangent is parallel to  
c.  6  
d.  1 
Question number: 154
» Algebra » Quadratic Equations with Real Coefficients
Question
If has a root in which one of the following intervals
Choices
Choice (4)  Response  

a.  (0,2)  
b.  (1,2)  
c.  (2,3)  
d.  (2,0) 
Question number: 155
» Algebra » Representation of Real Numbers on a Line
Appeared in Year: 2012
Question
What is the equation of line passing through and making an angle with the equal to the inclination of the line with ?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d.  None of the above 
Question number: 156
» Algebra » Quadratic Equations with Real Coefficients
Question
The solution of the simultaneous linear equations and will be satisfied by which one of the following linear equation?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 157
» Trigonometry » Trigonometrical Ratios
Question
If , then what is the value of
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 158
» Vector Algebra » Addition of Vectors
Appeared in Year: 2012
Question
If vectors and are orthogonal to each other, then what is the locus of the point
Choices
Choice (4)  Response  

a.  A circle  
b.  An ellipse  
c.  Straight line  
d.  A parabola 