Home
Class 9
MATHS
The point of the form (a,a) always lies ...

The point of the form (a,a) always lies on

A

X-axis

B

Y-axis

C

the line y=x

D

the line x+y=0

Text Solution

Verified by Experts

The correct Answer is:
C
Since, the given point (a,a) has same value of x and y-coordinates. Therefore, the point (a,a) must be lie on the line y=x.
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO EUCLID GEOMETRY

    NCERT EXEMPLAR|Exercise Introduction To Euclid Geometry|48 Videos

  • LINES AND ANGLES

    NCERT EXEMPLAR|Exercise Lines And Angles|34 Videos

Similar Questions

Explore conceptually related problems

The point of the form (a,-a), a!=0 lies on

The centre of mass always lies on the axis of symmetry if it exists. Is this statement true or false?

Two straight lines rotate about two fixed points (-a, 0) and (a,o). If they start from their position of coincidence such that oen rotates at the rate double that of the other, then The point (-a,0) always lies

Consider the following statements : 1. The orthocentre of a triangle always lies inside the triangle. 2. The centroid of a triangle always lies inside the triangle. 3. The orthocentre of a right angled triangle lies on the triangle. 4.The centroid of a right angled triangle lies on the triangle. Which of the above statements are correct ?

If the y-coordinate of a point is zero then this point always lies

If y-coordinate of a point is zero, then this point always lies

If the point (1,alpha) always remains in the interior of the triangle formed by the lines y=x,y=0 and x+y=4, then alpha lies in the interval

Incident ray always lies in a plane

NCERT EXEMPLAR-LINEAR EQUATION IN TWO VARIABLES-Linear Equation In Two Variables
  1. If we multiply or divide both sides of a linear equation with a non-ze...

    Text Solution

    |

  2. How many linear equations in x and y can be satisfied by x=1 and y=2 ?

    Text Solution

    |

  3. The point of the form (a,a) always lies on

    Text Solution

    |

  4. The point of the form (a,-a) always lies on the line

    Text Solution

    |

  5. The point (0,3) lies on the graph of the linear equation 3x+4y=12.

    Text Solution

    |

  6. The graph of the linear equation x+2y=7 passes through the point (0,7)...

    Text Solution

    |

  7. The graph given below represents the linear equation x+y=0.

    Text Solution

    |

  8. The graph given below represents the linear equation x=3.

    Text Solution

    |

  9. The coordinates of points in the table represent some of the solu...

    Text Solution

    |

  10. Every point on the graph of a linear equation in two variables does no...

    Text Solution

    |

  11. The graph of every linear equation in two variables need not be a line...

    Text Solution

    |

  12. Draw the graphs of linear equations y=x and y=-x on the same cartesian...

    Text Solution

    |

  13. Determine the point on the graph of the linear equation 2x+5y=19 whose...

    Text Solution

    |

  14. Draw the graph of the equation represented by a straight line which is...

    Text Solution

    |

  15. Draw the graph of the linear equation whose solutions are represented ...

    Text Solution

    |

  16. Write the linear equation such that each point on its graph has an ord...

    Text Solution

    |

  17. If the point (3, 4) lies on the graph of 3y=ax+7, then find the value ...

    Text Solution

    |

  18. Solve the equation 2x+1=x-3and represent the solution(s)on (i) the nu...

    Text Solution

    |

  19. Find the solution of the linear equation x+2y =8 which represents a po...

    Text Solution

    |

  20. For what value of c, the linear equation 2x+cy=8 has equal values of x...

    Text Solution

    |