NDA questions
2827 published questions with worked solutions.
- What is ^ -1 ( 1 4 )+ ^ -1 ( 3 5 ) equal to?
- A spherical balloon of radius r subtends an angle at the eye of an observer, while the angle of elevation of its centre is . What...Not in JEE syllabus
- If (x+y) (x-y) = a+b a-b , then what is x y equal to?
- If + =0= + , where 0< < <2 , then which one of the following is correct?
- Suppose A is given. If only one value of ( A 2 ) is possible, then A must be
- The maximum value of (x+ 5 )+ (x+ 5 ), where x (0, 2 ), is attained at
- What is the distance between the points which divide the line segment joining (4, 3) and (5, 7) internally and externally in the...
- What is the angle between the straight lines (m^2-mn)y=(mn+n^2)x+n^3 and (mn+m^2)y=(mn-n^2)x+m^3, where m>n?
- What is the equation of the straight line cutting off an intercept 2 from the negative direction of y-axis and inclined at 30^...
- What is the equation of the line passing through the point of intersection of the lines x+2y-3=0 and 2x-y+5=0 and parallel to the...
- Consider the following statements : 1. The length p of the perpendicular from the origin to the line ax+by=c satisfies the...
- What is the equation of the ellipse whose vertices are ( 5, 0) and foci are at ( 4, 0)?
- What is the equation of the straight line passing through the point (2, 3) and making an intercept on the positive y-axis equal...
- Let the coordinates of the points A, B, C be (1, 8, 4), (0, -11, 4) and (2, -3, 1) respectively. What are the coordinates of the...
- What is the equation of the plane passing through the points (-2, 6, -6), (-3, 10, -9) and (-5, 0, -6)?
- The coordinates of the vertices P, Q and R of a triangle PQR are (1, -1, 1), (3, -2, 2) and (0, 2, 6) respectively. If RQP= ,...
- The perpendiculars that fall from any point of the straight line 2x+11y=5 upon the two straight lines 24x+7y=20 and 4x-3y=2 are
- The equation of the line, when the portion of it intercepted between the axes is divided by the point (2, 3) in the ratio of 3 :...
- What is the distance between the straight lines 3x+4y=9 and 6x+8y=15?
- If a and b are vectors such that | a |=2, | b |=7 and a b =3 i +2 j +6 k , then what is the acute angle between a and b ?