NDA questions
2827 published questions with worked solutions.
- If x= - and y= cosec , + , then which one of the following is correct?
- If = 1 3 , then what is the value of ( 2 ) ( 3 2 )?
- x+ 3 x is maximum when x is equal to
- If lies in the fourth quadrant and 3 +4=0, then what is the value of 2 + 2 ?
- If + =0= + , then what is a value of 2 + 2 +2 ( + )?
- In a triangle ABC, A= B+ C then what is ( B 2 )+ ( B 2 ) equal to?
- Consider the following in respect of inverse circular functions : I. ^ -1 (-x)=- ^ -1 x II. ^ -1 (-x)= ^ -1 x III. ^ -1 (-x)= - ^...
- What is [2 ^ -1 1 2 - 4 ] equal to?
- The angles A, B and C of a triangle are in the ratio 1:1:4. If the longest side of the triangle is 3 units, then what is the...Not in JEE syllabus
- In a triangle ABC, if a, b and c are the lengths of the sides opposite to the angles A, B and C respectively, then what is (A-B)...Not in JEE syllabus
- What is the smallest positive x satisfying _ x x+ _ x x=2?
- A plane is observed to be approaching the airport. It is at a distance of 10 km from the point of observation and makes an angle...Not in JEE syllabus
- What is the length of the chord of a unit circle which subtends at the centre of the circle an angle of 45^ ?
- Let R be a relation on the set N of natural numbers defined by R= (x, y) : x, y N and x=y^3 . Which of the following statements...
- Consider the following statements : I. x +x+1=0 has two irrational roots. II. 5 x -x-4=0 has two rational roots. Which of the...
- How many numbers greater than 1000 can be formed using the digits 0, 1, 2 and 3 (repetition of digits is not allowed)?
- If p^ th term of an AP is k, then what is the sum of p^ th term, (p+q)^ th term and (p-q)^ th term of the AP?
- If f(x) is differentiable at x=a, then consider the following statements : I. f(x) is continuous at x=a II. _ x a f(x)=f(a) Which...
- What is _ x 1 x^ (n^2-1) -1 x^ (n+1) -1 equal to, where n>1 is a natural number?
- What is _ x 0 10^ x -1 x equal to?