## Question

### Solution

Correct option is

190

If (xy) is an interior point of the triangle OAB then x + y < 21. Possible values of x are 1, 2,…..19 and the corresponding values of y are 19 for x= 1, 18 for x = 2 and so on 1 for x = 19 as

x +  20, the total number of points are  #### SIMILAR QUESTIONS

Q1

If abc form a G.P. with common ratio r, the sum of the ordinates of the points of intersection of the line ax + by + c = 0 and the curve x + 2y2= 0 is

Q2

Orthocenter of the triangle with vertices (0,0), (3, 4) and (4, 0) is

Q3

Let P = (–1, 0), Q = (0, 0) and be three points. Then the equation of the bisector of the angle PQR is

Q4

A straight line through the origin O meets the parallel lines 4x + 2y = 9 and 2x + y + 6 = 0 at points P and Q respectively. Then the point O divides the segment PQ in the ratio.

Q5

Let A0A1 2 A3 A4 A5 be a regular hexagon described in a circle of unit radius. Then the product of the length of the line segments A A1A0 A2and A0 A4 is

Q6

The diagonals of a parallelogram PQRS are long the lines

x + 3y = 4 and 6x – 2y = 7, then PQRS must be a

Q7

The orthocenter of the triangle formed by the lines xy = 0 and x + y = 1 is

Q8

The straight lines x + y = 0, 3x + y – 4 = 0, x + 3y – 4 = 0 form a triangle which is

Q9

If sum of the distances of a point from two perpendicular lines in a plane is 1, then its locus is

Q10

If the circumcentre of a triangle lies at the origin and centroid is the middle point of the line joining the points (a2 + 1, a2 + 1) and (2a, –2a), then the orthocenter lies on the line.