DISTANCE FORMULA (BETWEEN TWO POINT) COORDINATE GEOMETRY 07 Class 10th Mathematics (Practice Sheet) 1 The distance formula is derived from which mathematical concept? A. Pythagoras theorem B. Trigonometry C. Quadratic equations D. Calculus 2 To determine the distance between two points, you need the coordinates of: A. Only the x-coordinates B. Only the y-coordinates C. Both the x and y coordinates D. Neither the x nor y coordinates 3 If a figure has equal sides and equal diagonals, it is a: A. Square B. Rhombus C. Rectangle D. Parallelogram 4 What is the distance between the point (-3, 2) and the origin? A. √13 units B. 5 units C. 6 units D. 7 units 5 If T(2, -2) and U(-2, 2) are two points, what is the distance TU? A. √4 units B. √32 units C. √12 units D. √16 units 6 Use the distance formula to find the distance between the point P(-5, 7) and Q(-1, 3). 7 Determine the coordinates of the point that divides the line segment joining the points (4, – 2) and (7, 4) in the ratio 2 : 1 internally. 8 Calculate the distance between the points P1(1, 2) and P2(1, 5). 9 Calculate the distance between the points P1(1, 2) and P2(4, 2) Page 1 Email: Phone No: Website:
[email protected] +91 93299 65211 www.brisklearning.com Address: Office No. 605, CTS No. 658, Gayatri Bhuvan, A & B, Kandivali, Dattani Park, Thakur Village, Kandivali East, Mumbai, Maharashtra 400101
English