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Show that f:Q to Q, f(x) = 5x+4 is a bijection and find the inverse of 'f'.

The expression log_2 5-sum_(k=1)^4 log_2(sin((kpi)/5)) reduces to p/q, where p and q are co-prime, the value of p^2+q^2 is

P and Q have co-ordinates (-2, 3) and (5, 4) respectively. Reflect P in the x-axis to P' and Q in the y-axis to Q'. State the co-ordinates of P' and 'Q .

The line segment joining the points (3,\ -4) and (1,\ 2) is trisected at the points P and Q . If the coordinates of P and Q are (p ,\ -2) and (5//3,\ q) respectively. Find the values of p and q .

If Q is the set of rational numbers and a function f:Q to Q is defined as f(x)=5x-4, x in Q , then show that f is one-one and onto.

Find the unit vector in the direction of vector vec P Q , where P and Q are the points (1,2,3) and (4,5,6), respectively.

Find the unit vector in the direction of vector vec P Q , where P and Q are the points (1,2,3) and (4,5,6), respectively.

five charge q_(1),q_(2),q_(3),q_(4) and q_(5) are fixed at their positions as shown in figure . s is Gaussian surface .The Gauss's law is given by ointvec(E).vec(ds)=(q)/(epsilon_(0)) Which of the following statement is correct?

p=3n(5n-2) q=4(2-5n) If p-q= ax^(2)=bx+c for all values of x where a,b and c are constants, what is the value of c?