" (3) "x+2v=-1;2x-3y=12" (4) "

(3) x+2y=-1;2x-3y=12

x+2y=-1,2x-3y=12

2x+3y=12;x-y=1

6x-4y=-12,8x-3y=-2

3 x + 2y = 12 , 5x - 2y = 4 .

If the distances from the points (6,-2),(3,4) to the lines 4x+3y=12,4x-3y=12 are d_(1) and d_(2) respectively then d_1:d_(2)=

Classify the following pairs of lines as coincident, parallel, perpendicular or intersecting : (i) 6x+14y-16=0 , 12x+28y-32=0 (ii) 3x-4y=8 , 3x+4y=11 (iii) 5x-2y=7 , 2y-5x=-7 (iv) 4x+7y=19 , 7x-4y=-2 (v) x-2y=7 , 4y-2x=13

The equation whose roots are diminished by 1 than those of 4x^(3)-x^(2)+2x-3=0 is (A) 4x^(3)-11x^(2)+12x+2=0 (B) 4x^(3)-11x^(2)+12x-3=0 (C) 4x^(3)+11x^(2)+12x+2=0 (D) 4x^(3)+11x^(2)+12x-3=0

Section (A): Equation of Tangent and Normal and angle of intersectiA-1/ The equation of tangent to the curve y = 2cosx at x = is(1)y- v2 = 2 v2 [x-) (2)y+ 12 = 13 (x+)(3)y- v2 =- v2(x-) (4)y- v2 = v= (x - 1)

1 + 5x + 3y = 9 2x 3y = 12 X = (x, y) - 4