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FIITJEE CHAPTER PRACTICE PROBLEM STRAIGHT LINE 2 L I M I T E D 6 1 Each side of a square is of length 6 units and the centre of the is (-1, 21, One of square diagonals is parallel to y 0 Find the co-ordinates of the square l 2 A vertex of an equilateral triangle is (2, 3) and the opposite side is x y 2. Find the equation of other sides 3 Aline passes through the point P(2, 3 and makes an angle u with postive direction ot xais If it meets the lines represented by x -2xy -y o at the points A and B PAPB e 0, x] then number of such equal io 4 If the slopes of the lines given by the equation 24x ax y+26xy 3 ular distance oint (1, 1) from these the values of

(i) A source of sound emits waves of frequency f_(0) = 1200 Hz . The source is travelling at a speed of v_(1) = 30 m//s towards east. There is a large reflecting surface in front of the source which is travelling at a velocity of v_(2) = 60 m//s towards west. Speed of sound in air is v = 330 m//s . (a) Find the number of waves arriving per second at the reflecting surface. (b) Find the ratio of wavelength (lambda_(1)) of sound in front of the source travelling towards the reflecting surface to the wavelength (lambda_(2)) of sound in front of the source approaching it after getting reflected. (ii) A sound source (S) and an observer (A) are moving towards a point O along two straight lines making an angle of 60^(@) with each other. The velocities of S and A are 18 ms^( –1) and 12 ms^( –1) respectively and remain constant with time. Frequency of the source is 1000 Hz and speed of sound is v = 330 ms^( –1) . (a) Find the frequency received by the observer when both the source and observer are at a distance of 180 m from point O (see figure). (b) Find the frequency received by the observer when she reaches point O.

A coil is placed in y-z plane making an angle of 30^(@) with x-axis . The current through coil is I, and number of turns are N. If a magnetic field of strength 'B' is applied in positive x-direction, then find the torque experienced by coil: (Radius of coil is R) (N = 100, I = 1A, r = 2m , B = 1/pi T)

A coil is placed in y-z plane making an angle of 30^(@) with x-axis . The current through coil is I, and number of turns are N. If a magnetic field of strength 'B' is applied in positive x-direction, then find the torque experienced by coil: (Radius of coil is R) (N = 100, I = 1A, r = 2m , B = 1/pi T)