Which of the following are examples of the null set
{ y : y is a point common to any two parallel lines}

Which of the following are examples of the null set { x : x is a natural numbers, x 7 }

Which of the following are examples of the null set Set of even prime numbers.

Which of the following are examples of the null set Set of odd natural numbers divisible by 2

State which of the following sets are empty and which are not? (i) The set of lines passing through a given point. (ii) Set of odd natural numbers divisible by 2. (iii) {x : x is a natural number, x lt 5 and x gt 7} (iv) {x : x is a common pomf to any two parallel lines} (v) Set of even prime numbers.

State whether each of the following set is finite or infinite: The set of lines which are parallel to the x-axis

Find the component statements of the following compound statements: Two lines in a plane either intersect at one point or they are parallel.

Find equation of the line passes from point of intersection of lines x+2y-3 =0 and 4x-y+7=0 . Whose is parallel to line 5x+4y-20=0 .

Find the equation of the tangent line to the curve y = x^(2) – 2x +7 which is (a) parallel to the line 2x – y + 9 = 0 (b) perpendicular to the line 5y – 15x = 13.

Find the combined equation of the straight lines passing through the point (1,1) and parallel to the lines represented by the equation . x^2-5xy+4y^2+x+2y-2=0 .

A curve y=f(x) passes through the origin. Through any point (x , y) on the curve, lines are drawn parallel to the co-ordinate axes. If the curve divides the area formed by these lines and co-ordinates axes in the ratio m : n , find the curve.