Coordinate Geometry 5 Mark Creative Question Paper With Answer Key

10th Standard

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Maths

Time : 01:15:00 Hrs
Total Marks : 75

    5 Marks

    15 x 5 = 75
  1. A mobile phone is put to use when the battery power is 100%. The percent of battery power ‘y’ (in decimal) remaining after using the mobile phone for x hours is assumed as y  = − 0.25 x + 1

    Draw a graph of the equation.

  2. Find the coordinates at the points of trisection (i.e. points dividing in three equal parts) of the line segment joining the points A(2, -2) and B(-7, 4).

  3. If the points A(6, 1), B(8, 2), C(9, 4) and D(P, 3) are the vertices of a parallelogram, taken in order. Find the value of P.

  4. Find the area of a triangle vertices are(1, -1), (-4, 6) and (-3, -5).

  5. Find a relation between x and y if the points (x,y) (1, 2) and (7, 0) are collinear.

  6. Find the area of the quadrilateral whose vertices, taken in order, are (-4, -2), (-3, -5), (3, -2) and (2, 3).

  7. Find the area of the triangle formed by the points P(-1, 5, 3), Q(6, -2) and R(-3, 4).

  8. Find the value of k if the points A(2, 3), B(4, k) and (6, -3) are collinear.

  9. Find the area of the triangle formed by the points (a, c + a), (a, c) and (- a, c - a).

  10. Find the value of p if the points (p + 1, 1),(2p + 1, 3) and (2p + 2, 2p) are collinear.

  11. Prove that the points A (0, - 1), B (2, 1) and C(- 4,3) form a right angled triangle.

  12. Show that the points A (- 2,0), B(2,4) , C (4, 1) and D (0, - 3) form a parallelogram.

  13. The Fahrenheit temperatrue F and absolute temperatrue K satisfy a linear equation given that E - 273 when F = 32 and. that.K = 373 when F = 212. Express K in terms of F and find the value of F when K = 0.

  14. If the intercept of a line between the co-ordinate axes is divided by point (- 5, 4) in the ratio 1 : 2, then find the equation of a line.

  15. Find the equations of the straight lines which pass through (4, 3) and are respectively paraltel and perpendicular to the x-axis.

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