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Find the gradient of a line which is perpendicular to the line with the equation 3x + 2y + 1 = 0
The locus of a point equidistant from two points p(6,2) and R(4,2) is a perpendicular bisector of PR passing through?
Find the capacity in liters of a cylindrical well of radius 1 meter and depth 14 meters
[π = 22/7]
Find the angle subtended at the center of a circle by a chord which is equal in length to the radius of the circle.
Find the area of the figure above
[π = 22/7]
In the diagram above ∠OPQ is?
Find the exterior angle of a 12 sided regular polygon
In the diagram above, PQ//RS. The size of the angle marked x is?
A binary operation * is defined on the set of positive integers is such x*y = 2x-3y+2 for all positive integers x and y. The binary operation is?
The fifth term of an A.P is 24 and the eleventh term is 96. Find the first term.
Solve the quadratic inequalities x\(^2\) - 5x + 6 ≥ 0
Find the range of values of x which satisfy the inequalities 4x - 7 \(\leq\) 3x and 3x - 4 \(\leq\) 4x
If p varies inversely as the square of q and p = 8 when q = 4, find q when p = 32
If x - 3 is directly proportional to the square of y and x = 5 when y =2, find x when y = 6.
Factorize completely; (4x+3y)\(^2\) - (3x-2y)\(^2\)
If 2x\(^2\) - kx - 12 is divisible by x-4, Find the value of k.
Make Q the subject of formula when \(L=\frac{4}{3}M\sqrt{PQ}\)
A book seller sells Mathematics and English books. If 30 customers buy Mathematics books, 20 customers buy English books and 10 customers buy the two books. How many customers has he altogether?
If X = {n\(^2\) + 1:n = 0,2,3} and Y = {n+1:n=2,3,5}, find X∩Y.