WBJEE Sample Papers, Section Wise & Full Maths Test - 10 Free Online Test

In the expansion of [7 ^{1 3} + 11 ^{1 9} ]⁶⁵⁶¹, the number of terms free from radicals is

The approx value of (7.995)¹∕³correct to four decimal places is

Two circles x² + y² - 2x + 6y + 6 = 0 and x² + y² - 5x + 6y + 15 = 0

If |z₁ + z₂| = |z₁ - z₂|, then the difference of arguments of z₁ and z₂ is

(1 − ω + ω ² ) (1 − ω ² + ω ⁴ ) (1 − ω ⁴ + ω 8 ) (1 − ω ⁸ + ω ¹⁶)    =

The singular solution of the differential equation y=px+p³, (p=dy/dx) is :

The solution of the differential equation

( d dx )(x² + cos x)⁴ =

(d/dx)[tan⁻¹⁽secx+tanx)]=

The radius of the circle passing through the foci of the ellipse ((x²/16) + (^y2/9) = 1), and having its centre (0,3) is

The equation of the ellipse in the form of ((x²/a²) + (^y2/b2) = 1), given the eccentricity to be 2/3 and latus rectum 2/3, is

The tangents to the hyperbola x² - y² = 3 are parallel to the st. line 2x + y + 8 = 0 at the following points

The st. line lx + my + n = 0 touches the hyperbola x²/a²- y2/^_b2 = 1 if

The function f(x) = sin ⁴x + cos ⁴x increases if

tan⁻¹(x/y) - tan⁻¹ (x - y/x + y) is

If A and B are two square matrices such that B = -A⁻¹ BA, then (A + B)² =

The strength of a beam varies as the product of its breadth b and square of its depth d. A beam cut out of a circular log of radius r would be strong when

|(1)/(2 + i)² −(1)/(2 − i)² | =

The focus of the parabola x²-8x+2y+7=0 is

Number of divisors of n = 38808 (except 1 and n) is