Enhanced Curriculum Support
This is a comprehensive educational resource designed to provide students with the tools and guidance necessary to excel. This support system is structured to cater to various aspects of learning, ensuring that students are well-prepared for academic challenges and practical applications of mathematical concepts. Some are the key benefits are mentioned below:
Comprehensive Learning: This holistic approach helps students gain a thorough understanding of the subject. Practical Application: The resources encourage students to apply mathematical concepts to real-life scenarios, enhancing their practical understanding and problem-solving skills.
Exam Preparedness: Sample Question Papers provide ample practice for exams. They help students familiarize themselves with the exam format and types of questions, reducing exam anxiety.
Sample Questions
Sec A
(1) The perimeter of a triangle, whose vertices are (0, 5), (0, 0) and (12, 0) is ......
(A) 15 (B) 13 (C) 30 (D) 10
(2) The perimeter of a triangle with vertices (0, 4), (0, 0) and (3, 0) is ... (A) 5 (B) 12 (C) 11 (D)
(3) Midpoint of a line joining the two points (0,0) and (4,6) is ................
(4) Find the centroid of a ΔPQR, whose vertices are P(1, 1), Q(2, 2), R(-3, -3).
(5) Find the distance between the points (1, 5) and (5, 8).
(6) Find the centroid of a △PQR, whose vertices are P(1, 1), Q(2, 2), R(-3, -3).
Sec B
(1) Show that the points A(–6, 10), B(–4, 6) and C(3, –8) are collinear.
(2) In the diagram on a Lunar eclipse, if the positions of Sun, Earth and Moon are shown by (- 4, 6), (k, -2) and (5, - 6) respectively, then find the value of k.
(3) Akhila says, "points A(1, 3), B(2, 2), C(5, 1) are collinear". Do you agree with Akhila? Why?
(4) Akhila says, “points A(1, 3), B(2, 2), C(5, 1) are collinear”. Do you agree with Akhila? Why?
(5) Show that the points (-5, 1), (5, 5), (10, 7) are collinear.
(6) Show that the centroid of a triangle formed by the vertices (0,0), (2,0) and (1,3) is (1,1).
(7) Find the centroid of the triangle whose vertices are (2, 3), (-4, 7) and (2, -4).
(8) Find the distance between the points (0, 0) and (sin θ, cos θ), where 0° ≤ θ ≤ 90°.
(9) Find the distance between parallel lines:
5x - 3y - 4 = 0 10x - 6y - 9 = 0
(10) If the distance from P to the points (2, 3) and (2, -3) are in the ratio 2:3, then find the equation of the locus of P.
Sec C
(1) Find the ratio in which X-axis divides the line segment joining the points (2, −3) and (5, 6). Then find the intersecting point on X-axis.
(2) Find the ratio in which X-axis divides the line segment joining the points (2, -3) and (5, 6). Then find the intersecting point on X-axis.
(3) Show that the triangle with vertices A(–4, 2), B(2, –4) and C(12, 6) forms a Right angled triangle.
(4) Find the area of the quadrilateral whose vertices taken in order are A(1,1), B(7, -3), C(12,2), D(7,21).
(5) Find the points of tri-section of the line segment joining the points (-2, 1) and (7, 4).
Sec D
(1) Find the coordinates of the points which divide the line segment joining the points A(–2, 2) and B(2, 8) into four equal parts.
(2) The three vertices of a parallelogram ABCD are A(-1, -2), B(4, -1) and C(6, 3). Find the coordinates of vertex D and find the area of parallelogram ABCD.
(3) If A(-2, 2), B(a, 6), C(4, b) and D(2, -2) are the vertices of a parallelogram ABCD, then find the values of a and b. Also find the lengths of its sides.