" 7.बिंदुओं "(-1,1)" And "(2,-4)" While leaving "

Draw a simple junction with I_(1),I_(4)andI_(5)("into the junction")and I_(2),I(3)("leaving the junction").

A quadratic polynomial in x leaves remainders 4 , 4 and 0 , respectively when divided by (x-1),(x-2) and (x-3) . Find the quadratic polynomial.

Two skaters P and Q are skating towards each other. Skater P throws a ball towards W every 5 s such that it always leaves her hand with speed 2 ms^(-1) with respect to the ground. Consider two cases: (I) P runs with speed 1 ms^(-1) towards Q while Q remains stationary (II) Q runs with speed 1 ms^(-1) towards P while P remains stationary. Note that irrespective of speed of P, ball always leaves P's hand with speed 2 ms^(-1) with respect to the ground. Ignore gravity. Balls will be received by Q .

Given that px^(2)+qx+6 leaves the remainder as 1 on division by 2x=1 and 2qx^(2)+6x+p leaves the remainder as 2 on division by 3x-1 . Find p and q .

Five balls numbered 1,2,3,4,and 5 are suspended using separated threads. The balls (1,2),(2,4) and (4,1) show electrostatic attraction while balls (2,3) and (4,5) show repulsion. Therefore, ball 1 must be

Five balss numbered 1,2,3,4,and 5 are suspended using separated threads. The balls (1,2),(2,4) and (4,1) show electrostatic attraction while balls (2,3) and (4,5) show repulsion. Therefore, ball 1 must be