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BABY BULLET-Q(Ap) ,
MATHS-1B
‘SECTION-A-
Answer ALL of the following VSAQ: Nee
Transform J3x + =4 into () slope intereept form and (ii) intercept Form.
Find the distance between the parallel lines 3x+4y-3 = 0 and 6x8y-1=0-
‘Show that the points (1,2,3),(2,3,1) and (3, 1,2) form an equilateral triangle.
Find a traid of d's ofthe normal to the plane x+2y22-4-0
Bate 1g !=<020 orp sono) — 6 7,44 [*eseres
IF A) =sinogs, 60) then Find
Find the derivative of x = a (cos t+ { sin t), y = a (sint ~ t cost)
Find the equation of tangent and normal to curve y =x4-6x3+13x2-10x+5 at (05)
Show that tan x>x forevery ne (08/2)
‘SECTION-B
Answer any FIVE ofthe following SAQ: 5x4-20
If the distance ftom “Po the points (2,3) and (2,-3) are inthe rato 2:3, then find
the equation of locus of
Find the equation of locus ofa point, the sum of whose distances from (0,2)(0,-2) is 6 uit.
‘Transform the equation © + ‘ =| into normal form where a>0, b>0. If the perpendicular
distance of the straight line from the O
lt
Evaluate us 2+
x40
Find the derivative of x from the firs principe
Find the equations ofthe tangent tothe curve y=3x2-x3, where it meets the X-axis
Find the intervals on which the funtion fix) = x3 + 5x2 8-+ | isa setly
easing function.
‘SECTION-C
Answer any FIVE of the following LAQ: 5x7=35
Find the equation ofthe straight lines passing trough the pit
an angle 45* with the straight line 3x-y*+4 =.
-y~6)2=0 & 6x2—Sny—6y2+x+5)-1=0 form a square.
Find the condition for the lines joining the origin tothe poiws of intersection of the circle
x2ey2ea? and the line fxm
Find the direction cosines of two lines which are connected by the relations /+m+n=0
and mn-2nl-2/m=0,
Find he condone onhogsaly ofthe aves x?sby?= Land apx2aby2
| window is inthe shape ofa ectnge surmounted by a semi-circle :
Ifthe perimeter of the window be 20 fet then find th maximum rca,
(3.2) and making
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