1)Write three solutions each for the following equations: - (i) 2x+ 3y=12 (ii) 5x-y= 10 2) If (3, -2) is a solution of the equation 3x − 2ky = 5, find ‘k’ 3) Write the coordinates of the point at which the line 4x − 7y = 8 intersect at x – axis. 4) Write equation of the line passing through (2,-3) and parallel to y- axis. 5) If (1,-2) is a solution of the equation 2x-y=p, then find the value of ‘p’.
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cosA=5/13
sinA=-√(1-cos^2A) (since theta is in 4th quadrant)
i.e. sinA=-√144/169
=-12/13
tanB=-15/8
sinB=+(15)/√{(-15)^2+(8)^2} (B is in Q2)
i.e. sinB=15/17
cosB=tanB/sinB
i.e. cosB=-15/8 * 17/15
cosB=17/8
now
sin(A+B)=sinAcosB+cosAsinB
sin(A+B)=(-12/13)(17/8)+(5/13)(15/17)
={1/13}(-51/2 + 75/17)
=(1/13)(-710/34)
=-710/442
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