Home
Class 12
MATHS
The number of integer values of m, for w...

The number of integer values of `m`, for which the x-coordiante of the point of intersection of the lines `3x+4y=9` and `y=mx+1` is also an integer, is
(a)   `2`    (b)  `0`
(c)   `4`    (d)  `1`

A

2

B

0

C

4

D

1

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2) SINGLE CORRECT ANSWER TYPE QUESTIONS|30 Videos

  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS)|25 Videos

  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (CONCEPT - BASED) SINGLE CORRECT ANSWER TYPE QUESTIONS|15 Videos

  • AREA BY INTEGRATION

    MCGROW HILL PUBLICATION|Exercise Question from Previous Years. B-Architecture Entrance Examination Papers|12 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|17 Videos

Similar Questions

Explore conceptually related problems

The acute angle between the lines y=3 and y=sqrt(3)x+k is (A)   30 °   (B)   60 °    (C)   45 °   (D)   90 °   

Find the volume in cubic decimetre of each of the cubes whose side is (i)1.5m          (ii)  75cm        (iii)  2dm 5cm

The number of solutions of z^2+bar z=0 is (a) 1           (b) 2 (c) 3           (d) 4

If the vertices of a triangle PQR are rational points, then which of the following points of this triangle may not be rational - (a)   Centroid     (b)   Incenter (c)    Circumcenter     (d)    Orthocenter

The measure of the angle between the internal and external bisectors of an angle is: (A)   60°     (B)   70°      (C)   80°      (D)   90°

The distance of the point (2,3) from the line x-2y+5=0 measured in a direction parallel to the line x -3y=0 is: (A)   2sqrt(10)     (B)   sqrt(10)     (C)   2sqrt(5)     (D)   None of these

How many diagonals does each of the following have? (i)A convex quadrilateral (ii)A regular hexagon             (iii)   A triangle

If alpha , beta and gamma are the zeroes of the cubic polynomial x^3-5x^2+2x-10 , then the value of (alpha + beta + gamma)(1/alpha + 1/beta +1/ gamma) is (1)    2     (2)   0 (3)    -1     (4)   1

The radical center of the circles x^2+y^2=a^2 , (x-c)^2+y^2=a^2 and x^2+(y-b)^2=a^2 is (A)   (a/2,b/2)   (B)   (b/2,c/2)   (C)   (c/2,b/2)   (D)   None of these

In an AP, S_p=q , S_q=p . Then S_(p+q) is equal to: a.     0 b.     -(p+q) c.     (p+q) d.     pq

MCGROW HILL PUBLICATION-CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES -SOLVED EXAMPLES (LEVEL 1) SINGLE CORRECT ANSWER TYPE QUESTIONS
  1. A straight line through the origin O meets the parallel lines 4x+2y=9a...

    Text Solution

    |

  2. Let P = (-1, 0), Q = (0, 0) and R = (3, 3sqrt3) be three points. The e...

    Text Solution

    |

  3. The number of integer values of m, for which the x-coordiante of the p...

    Text Solution

    |

  4. If the line 2x + y = k passes through the point which divides the line...

    Text Solution

    |

  5. A line is drawn through the point (1, 2) to meet the coordinate axes ...

    Text Solution

    |

  6. Let PQR be a right - angled isosceles triangle , right angled at P(2,1...

    Text Solution

    |

  7. The orthocentre of the triangle formed by the lines xy = 0 and 2x+3y-5...

    Text Solution

    |

  8. The equations of the sides of a parallelogram are x = 2, x = 3 and y =...

    Text Solution

    |

  9. The lines joining the origin to the point of intersection of The lines...

    Text Solution

    |

  10. The lines p(p^2+1)x-y+q=0 and (p^2+1)^2x+(p^2+1)y+2q=0 are perpendicul...

    Text Solution

    |

  11. The line L given by x/5+y/b=1 passes through the point (13,32). The li...

    Text Solution

    |

  12. Consider three points P = (-sin (beta-alpha), -cos beta), Q = (cos(bet...

    Text Solution

    |

  13. L1 = x + 3y-5=0, L2= 3x-ky-1=0 , L3 = 5x + 2y-12 = 0 are concurrent i...

    Text Solution

    |

  14. Consider the lines L(1): x+y=10, " " L(2):x+y=60 L(3):x=40, "...

    Text Solution

    |

  15. Line through P(a, 2) meets the ellipse x^2/9+y^2/4=1 at A and D and m...

    Text Solution

    |

  16. The parallelogram is bounded by the lines y=ax + c; y=ax + d; y=bx + c...

    Text Solution

    |

  17. A straight line L through the point (3,-2) is inclined at an angle 60^...

    Text Solution

    |

  18. Given the four lines with the equations x+2y-3=0, 3x+4y-7=0, 2x+3y...

    Text Solution

    |

  19. The point (4, 1) undergoes the following three transformations success...

    Text Solution

    |

  20. If the sum of the distances of a point from two perpendicular lines in...

    Text Solution

    |