NDA questions
2204 published questions with worked solutions.
- If 1 3+2 3^2+3 3^3+ +n 3^n= (2n-1)3^a+b 4 then a and b are respectively
- In PQR, R= 2 . If ( P 2 ) and ( Q 2 ) are the roots of the equation ax^2+bx+c=0, then which one of the following is correct?
- If |z- 4 z |=2, then the maximum value of |z| is equal to
- The value of 9^ - 27^ - 63^ + 81^ is equal to
- The value of 3 , cosec ,20^ - 20^ is equal to
- Angle is divided into two parts A and B such that A-B=x and A : B=p : q. The value of x is equal to
- The value of ^ -1 ( 3 5 )+ ^ -1 ( 1 7 ) is equal to
- The angles of elevation of the top of a tower from the top and foot of a pole are respectively 30^ and 45^ . If h_T is the height...
- In a triangle ABC, a-2b+c=0. The value of ( A 2 ) ( C 2 ) is
- 1+ A =- ( A 2 + A 2 ) is true if
- In triangle ABC, if ^2A+ ^2B+ ^2C ^2A+ ^2B+ ^2C =2 then the triangle is
- The principal value of ^ -1 x lies in the interval
- The points (a, b), (0, 0), (-a, -b) and (ab, b^2) are
- The length of the normal from origin to the plane x+2y-2z=9 is equal to
- If , and are the angles which the vector OP (O being the origin) makes with positive direction of the coordinate axes, then which...
- The angle between the lines x+y-3=0 and x-y+3=0 is and the acute angle between the lines x- 3 y+2 3 =0 and 3 x-y+1=0 is . Which...
- Let = i +2 j - k , =2 i - j +3 k and =2 i + j +6 k be three vectors. If and are both perpendicular to the vector and =10, then...
- If a and b are two unit vectors, then the vector ( a + b ) ( a b ) is parallel to
- If the vectors a i + j + k , i +b j + k and i + j +c k (a, b, c 1) are coplanar, then the value of 1 1-a + 1 1-b + 1 1-c is equal...
- The point of intersection of the line joining the points (-3, 4, -8) and (5, -6, 4) with the XY-plane is