Mathematics Tes...

The area bounded by the parabola y² = 4x and its latusrectum is:

The equations of the circles, which touch both the axes and the line 4x+3y=12 and have centres in the first quadrant, are

The area bounded by the parabola y = 4x², X - axis between the ordinates x = 2, x = 4 is:

The area enclosed by the curve |x| + |y| = 1 in sq. units is⋯

The function$f\left(x\right)=2\left|x\right|+|x+2|-\left|\right|x+2|-2|x\mid$ has a local minimum or a local maximum at x = ?

The area bounded by y= x² + 2, X-axis, x = 1 and x = 2 is:

The area of the region bounded by the curve y = x², x - axis and the ordinates x = 0, x = 2 is:

If α and β are the roots of the equation x² + 6x +$\lambda =03\alpha +2\beta =-20$ then $\lambda$

If the equation x²+y²−10x+21=0 has real roots x=α and y=β then

If α and β are the roots of the equation x² - a(x + 1) - b = 0, then$\left(\alpha +1\right)\left(\beta +1\right)=$

If the sum of the roots of the equation$\lambda x^2+2k+3\lambda =0$ be equal to their product, then λ =

The area of the region y = ax − bx² bounded by x-axis in sq. units is