NDA questions
2295 published questions with worked solutions.
- Under which one of the following conditions does the equation ( -1)x^2+( )x+ =0 in x have a real root for [0, ]?
- In a triangle ABC, AB=16 cm, BC=63 cm and AC=65 cm. What is the value of 2A+ 2B+ 2C?
- If f( )= 1 1+ and + = 5 4 , then what is the value of f( )f( )?
- If and are the roots of the equation x^2-6x+8=0, then what is the value of (2 +2 )?
- What is the value of 65^ +2 45^ -2 40^ - 25^ ?
- Consider the following statements : 1. In a triangle ABC, if A B C>0, then the triangle is an acute angled triangle. 2. In a...
- If (a, b) is the centre and c is the radius of the circle x^2+y^2+2x+6y+1=0, then what is the value of a^2+b^2+c^2?
- The number of points represented by the equation x=5 on the xy-plane is
- If <l, m, n> are the direction cosines of a normal to the plane 2x-3y+6z+4=0, then what is the value of 49(7l^2+m^2-n^2)?
- A line through (1, -1, 2) with direction ratios <3, 2, 2> meets the plane x+2y+3z=18. What is the point of intersection of line...
- If p is the perpendicular distance from origin to the plane passing through (1, 0, 0), (0, 1, 0) and (0, 0, 1), then what is 3p^2...
- If the direction cosines <l, m, n> of a line are connected by relation l+2m+n=0, 2l-2m+3n=0, then what is the value of...
- If a variable line passes through the point of intersection of the lines x+2y-1=0 and 2x-y-1=0 and meets the coordinate axes in A...
- What is the equation to the straight line passing through the point (- , ) and perpendicular to the line x +y =9?
- If two sides of a square lie on the lines 2x+y-3=0 and 4x+2y+5=0, then what is the area of the square in square units?
- ABC is a triangle with A(3, 5). The mid-points of sides AB, AC are at (-1, 2), (6, 4) respectively. What are the coordinates of...
- ABC is an acute angled isosceles triangle. Two equal sides AB and AC lie on the lines 7x-y-3=0 and x+y-5=0. If is one of the...
- In the parabola y^2=8x, the focal distance of a point P lying on it is 8 units. Which of the following statements is/are correct?...
- What is the eccentricity of the ellipse if the angle between the straight lines joining the foci to an extremity of the minor...
- Let a = i - j + k and b = i +2 j - k . If a ( b a )= i - j + k , then what is the value of + + ?