If A ′ is the transpose of a square matrix A, then

The determinant $capital delta equals open vertical bar table row a b cell a alpha plus b end cell row b c cell b alpha plus c end cell row cell a alpha plus b end cell cell b alpha plus c end cell 0 end table close vertical bar$ is equal to zero if

Equation of the line passing though the point of intersection of the lines x + 2y – 3 = 0 and x
+ y –2 = 0 and also through the point (2, 1) is

For such questions, we should know different formulas to find equation of line.

Equation of the line passing though the point of intersection of the lines x + 2y – 3 = 0 and x
+ y –2 = 0 and also through the point (2, 1) is

For such questions, we should know different formulas to find equation of line.

The locus of the point which moves so that the square of its distance from the point (3, 0) is
equal to 7 is

Locus of a point means path traced by the given point while satisfying the given conditions. For such questions, we should know distance formula.

The locus of the point which moves so that the square of its distance from the point (3, 0) is
equal to 7 is

Locus of a point means path traced by the given point while satisfying the given conditions. For such questions, we should know distance formula.

The area of triangle with vertices at (–4, –1) , (1, 2), (4, –3)

Here, the area of a triangle cannot be negative. Hence only the numerical value is considered.

The area of triangle with vertices at (–4, –1) , (1, 2), (4, –3)

Here, the area of a triangle cannot be negative. Hence only the numerical value is considered.

An object is placed on the surface of a smooth inclined plane of inclination $theta$ . It takes time t to reach the bottom. If the same objective is allowed to slide down a rough inclined plane of same inclination $theta$ , it takes not to reach the bottom where n is a number greater than 1. The coefficient of friction $mu$ is given by

Two masses A and B each of mass M are fixed together by a massless spring. A force F acts on the mass B as shown in figure. At the instant shown the mass A has acceleration a. What is the acceleration of mass B?

A block of mass M is pulled along a horizontal frictionless surface by a rope of mass m. If a force F is applied at one end of the rope, the force which the rope exerts on the block is:

A force-time graph for the motion of a body is shown in figure. Change in linear momentum between 0 and 8 s is:

Three blocks are connected on a horizontal frictionless table by two light strings, one between m₁and m₂, another between m₂ and m₃ . The tensions are T₁ between m₁ and m₂ and T₂ between m₂ and m₃. if m₁ = 1 kg, m₂ = 8 kg, m₃ = 27 kg and F = 36 N applied on m₃, then T₂ will be

A block of mass m is held at the top of an inclined rough plane of angle of inclination $theta$ . The coefficients of static and kinetic friction are $mu subscript 1 end subscript$ and $mu subscript 2 end subscript$ respectively. If the block is pushed down at the verge of slipping, assuming $theta$ < tan^-1 $mu subscript 1 end subscript$ , Its acceleration down the plane is :

Choose the wrong statement

Mark the correct statements for a particle going on a straight line

Two different balls of masses m₁ and m₂ are allowed to slide down from rest and from same height h along two smooth inclined planes having different angles of inclination a and b. Then

The string shown in the figure is passing over small smooth pulley rigidly attached to trolley A. If speed of trolley is constant and equal to VA. Speed and magnitude of acceleration of block B at the instant shown in figure is