respectively
Two concentric circular coils X and Y of radii 16 cm and 10 cm, respectively, lie in the same vertical plane containing the north to south direction. Coil X has 20 turns and carries a current of 16 A; coil Y has 25 turns and carries a current of 18 A. The sense of the current in X is anticlockwise, and clockwise in Y, for an observer looking at the coils facing west. Find the magnitude and direction of the net magnetic field due to the coils at their centre.
26
Nov
Two concentric circular coils X and Y of radii 16 cm and 10 cm, respectively, lie in the same vertical plane containing the north to south direction. Coil X has 20 turns and carries a current of 16 A; coil Y has 25 turns and carries a current of 18 A. The sense of the [...]
15. If the vertices A, B, C of a triangle ABC are (1, 2, 3), (–1, 0, 0), (0, 1, 2), respectively, then find ∠ABC. [∠ABC is the angle between the vectors BA and BC] .
05
Nov
15. If the vertices A, B, C of a triangle ABC are (1, 2, 3), (–1, 0, 0), (0, 1, 2), respectively, then find ∠ABC. [∠ABC is the angle between the vectors BA and BC] . 0 ) 1 15. If the vertices A 2 3% B C of a triangle ABC are (1 respectively [...]
8. Find the unit vector in the direction of vector PQ, where P and Q are the points (1, 2, 3) and (4, 5, 6), respectively.
05
Nov
8. Find the unit vector in the direction of vector PQ, where P and Q are the points (1, 2, 3) and (4, 5, 6), respectively. 2 3) and (4 5 6 8. Find the unit vector in the direction of vector PQ respectively where P and Q are the points (1 November 5, 2021 [...]
6.If A and B be the points (3, 4, 5) and (–1, 3, –7), respectively, find the equation of the set of points P such that PA^2 + PB^2 = k^2 , where k is a constant.
30
Oct
6.If A and B be the points (3, 4, 5) and (–1, 3, –7), respectively, find the equation of the set of points P such that PA^2 + PB^2 = k^2 , where k is a constant. 3% 4 5) and (–1 6.If A and B be the points (3 7) find the equation of [...]
Example 13 The centroid of a triangle ABC is at the point (1, 1, 1). If the coordinates of A and B are (3, –5, 7) and (–1, 7, – 6), respectively, find the coordinates of the point C.
30
Oct
Example 13 The centroid of a triangle ABC is at the point (1, 1, 1). If the coordinates of A and B are (3, –5, 7) and (–1, 7, – 6), respectively, find the coordinates of the point C. 1 1). If the coordinates of A and B are (3 5 6 7) 7) and [...]
Example 6 Find the equation of set of points P such that PA^2 + PB^2 = 2k^2 , where A and B are the points (3, 4, 5) and (–1, 3, –7), respectively.
30
Oct
Example 6 Find the equation of set of points P such that PA^2 + PB^2 = 2k^2 , where A and B are the points (3, 4, 5) and (–1, 3, –7), respectively. 3% 4 5) and (–1 7) Example 6 Find the equation of set of points P such that PA^2 + PB^2 = [...]
3. Find the equations of the lines, which cut-off intercepts on the axes whose sum and product are 1 and – 6, respectively.
30
Oct
3. Find the equations of the lines, which cut-off intercepts on the axes whose sum and product are 1 and – 6, respectively. 3. Find the equations of the lines respectively which cut-off intercepts on the axes whose sum and product are 1 and – 6 October 30, 2021 Category: Chapter 10 - Straight Lines [...]
16. If p and q are the lengths of perpendiculars from the origin to the lines x cosθ – ysin θ = k cos2θ and x sec θ + y cosec θ = k, respectively, prove that p^2 + 4q^2 = k^2 .
30
Oct
16. If p and q are the lengths of perpendiculars from the origin to the lines x cosθ – ysin θ = k cos2θ and x sec θ + y cosec θ = k, respectively, prove that p^2 + 4q^2 = k^2 . 16. If p and q are the lengths of perpendiculars from the [...]
3. Let the sum of n, 2n, 3n terms of an A.P. be S1, S2 and S3, respectively, show that S3 = 3(S2 – S1 )
27
Oct
3. Let the sum of n, 2n, 3n terms of an A.P. be S1, S2 and S3, respectively, show that S3 = 3(S2 – S1 ) 2n 3. Let the sum of n 3n terms of an A.P. be S1 respectively S2 and S3 show that S3 = 3(S2 – S1 ) October 27, 2021 [...]
Example 18 If A.M. and G.M. of two positive numbers a and b are 10 and 8, respectively, find the numbers.
24
Oct
Example 18 If A.M. and G.M. of two positive numbers a and b are 10 and 8, respectively, find the numbers. Example 18 If A.M. and G.M. of two positive numbers a and b are 10 and 8 find the numbers. respectively October 24, 2021 Category: Chapter 9 - Sequences and Series , Maths , [...]