Home
Class 12
MATHS
The lines xy=0and x+y=17 from a triangle...

The lines `xy=0and x+y=17` from a triangle in the x-y plane. The total numbe of points having co-ordinates which are prime numbers and lie inside the traingle is

A

23

B

24

C

25

D

26

Text Solution

Verified by Experts

The correct Answer is:
D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise SECTION-I (SUBJECTIVE TYPE QUESTIONS)|5 Videos

  • STATISTICS

    AAKASH INSTITUTE|Exercise Section-C Assertion-Reason|15 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - J|10 Videos

Similar Questions

Explore conceptually related problems

Find the number of integral points which lie on or inside the circle x^(2)+y^(2)=4

A lattice point in a plane is a point for which both coordinates are integers. The number of lattice points lies inside the triangle whose sides are,x=0,y=0 and x+y=20 is

Knowledge Check

  • The plane (x)/(a)+(y)/(b)+(z)/(c )=3 meets the co-ordinate axes in A,B,C. The centroid of the triangle ABC is

    A
    `((a)/(3),(b)/(3),(c )/(3))`
    B
    `((3)/(a),(3)/(b),(3)/(c ))`
    C
    `((1)/(a),(1)/(b),(1)/(c ))`
    D
    `(a,b,c)`

  • The number of integral point inside the triangle made by the line 3x + 4y - 12 =0 with the coordinate axes which are equidistant from at least two sides is/are : ( an integral point is a point both of whose coordinates are integers. )

    A
    1
    B
    2
    C
    3
    D
    4

    • Similar Questions

    Explore conceptually related problems

    The number of integral values of 'a for which the point (a,a^(2)) lies completely inside the triangle x=0,y=0,2y+x=3 is

    If the lines x+y=0,x-y=0 and 2x+3y=6=0 are the sides of a triangle and (-2,a) is an interior point of the triangle then a lies

    Number of points with integral co-ordinates that lie inside a triangle whose co-ordinates are (0,0),(0,21) and (21,0) .

    If x-co-ordinate of point A is negative and y-co-ordinate is positive. Then which quadrant point A lie?

    P(x,y) is called a natural point if x, y in N . The total number of points lying inside the quadrilateral formed by the lines 2x+y = 2 , x = 0 , y = 0 and x+y=5 is

    The area of the triangle formed by the straight line 2x-3y+6=0 with the co-ordinate axes is (in sq.units)

    Home
    Profile