[" stion mumbers "16" to "20" carry "1" mark each."],[" Find the value of "a" ,for which point "P((a)/(3),2)" is the mid-point of the line "]

Find the distance of the point (1,2) from the mid-point of the line segment joining the points (6,8) and (2,4)

Two tiny spheres carrying charges 1.5 muC and 2.5 muC are located 30 cm apart. Find the potential (a) at the mid-point of the line joining the two charges and (b). At a point 10 cm from this mid-point in a plane normal to the line and passing through the mid-point.

Two tiny spheres carrying charges 1.5 muC and 2.5 muC are located 30 cm apart. Find the potential (a) at the mid-point of the line joining the two charges and (b). At a point 10 cm from this mid-point in a plane normal to the line and passing through the mid-point.

If P is a point on the parabola y^(2)=8x and A is the point (1,0) then the locus of the mid point of the line segment AP is

If P is a point on the parabola y^(2)=8x and A is the point (1,0) then the locus of the mid point of the line segment AP is

Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are P(2veca + vecb) and Q(veca-3vecb) externally in the ratio 1 : 2. Also, show that P is the mid point of the line segment RQ.

Find the gradient of a straight line which is passes through the point (-3, 6) and the mid point of (4, -5) and (-2, 9)

If P is (3, 1) and Q is a point on the curve y^2 = 8x , then the locus of the mid-point of the line segment PQ is

Find the gradient of a straight line which is passes through the point (-3. 6) and the mid point of (4,-5) and (-2, 9)