NDA questions
2827 published questions with worked solutions.
- Consider the following values of x : 1. 8 2. -4 3. 1 6 4. - 1 4 Which of the above values of x is/are the solution(s) of the...
- If the second term of a GP is 2 and the sum of its infinite terms is 8, then the GP is
- What is the sum of all three-digit numbers that can be formed using all the digits 3, 4 and 5, when repetition of digits is...
- If A= ^2 + ^4 , then for all real , which one of the following is correct?
- The equation of a circle whose end points of a diameter are (x_1, y_1) and (x_2, y_2) is
- The second degree equation x^2+4y^2-2x-4y+2=0 represents
- The angle between the two lines lx+my+n=0 and l'x+m'y+n'=0 is given by ^ -1 . What is equal to?
- Consider the following statements : 1. The distance between the lines y=mx+c_1 and y=mx+c_2 is |c_1-c_2| 1+m^2 . 2. The distance...
- What is the equation of straight line passing through the point of intersection of the lines x 2 + y 3 =1 and x 3 + y 2 =1, and...
- What is the distance of the point (2, 3, 4) from the plane 3x-6y+2z+11=0?
- Coordinates of the points O, P, Q and R are respectively (0, 0, 0), (4, 6, 2m), (2, 0, 2n) and (2, 4, 6). Let L, M, N and K be...
- The line x-1 2 = y-2 3 = z-3 4 is given by
- Consider the following statements : 1. The angle between the planes 2x-y+z=1 and x+y+2z=3 is 3 . 2. The distance between the...
- Consider the following statements : Statement I : If the line segment joining the points P(m, n) and Q(r, s) subtends an angle at...Not in JEE syllabus
- What is the area of the triangle with vertices (x_1, 1 x_1 ), (x_2, 1 x_2 ), (x_3, 1 x_3 )?
- If y-axis touches the circle x^2+y^2+gx+fy+ c 4 =0, then the normal at this point intersects the circle at the point
- Let | a | 0, | b | 0. ( a + b ) ( a + b )=| a |^2+| b |^2 holds if and only if
- If r =x i +y j +z k , then what is r ( i + j + k ) equal to?
- A unit vector perpendicular to each of the vectors 2 i - j + k and 3 i -4 j - k is
- If | a |=3, | b |=4 and | a - b |=5, then what is the value of | a + b |?