The probability that the graph of `y=16x^2 +8(a +5)x-7a-5=0,` is strictly above the x-axis, If `a in [-20,0]`

Sketch the graph of y=log_(0.5)|x|.

The graph of 5x-4y=0 passes through the origin.

If ……….., then f(x)=x^(2)-kx+20, [0,3] is strictly increasing.

The equation of the line joining the point {3, 5) to the point of intersection of the lines 4x + y - 1 = 0 and 7x - 3y - 35 = 0 is equidistant from the points (0,0) and (8,34) .

The focus of the parabola x^2-8x+2y+7=0 is

Prove that the equation 3x^(2) + 3y^(2) - 5x + 6y + 8 = 0 does not represent circle.

Draw the graph of (i) y=2x+5 , (ii) y=2x-5 , (iii) y=2x and find the point of intersection on X - axis Is the x-coordinate of these points also the zeroes of the polynomial ?

The area of the region bounded by the curve y= |x-5| , X- axis and the lines x=0, x=1 is …..Sq . Units.

Express each of the following equations in the form of ax + by + c = 0 and write the values of a, b and c. (i) 3x + 4y = 5 (ii) x - 5 = sqrt3y (iii) 3x = y (iv) x/2+y/2=1/6 (v) 3x - 7 = 0

If (a+1)x+(a^(2)-a-2)y+a=0 line is parallel to X - axis then a = ...........