Q1.If one of the zeroes of the quadratic polynomial (k–1) x2 + k x + 1 is –3, then the value of k is. A) 4/3 B) -4/3 C) 2/3 D) -2/3 Solution: Q2. A quadratic polynomial, whose zeroes are –3 and 4, is is A) x2 – x + 12 B) x2 + x … Read more
Q1.Answer the following and justify: (i) Can x2 – 1 be the quotient on division of x6 + 2×3 + x – 1 by a polynomial in x of degree 5?. Solution: (ii) What will the quotient and remainder be on division of ax2 + bx + c by px3 + qx2 + rx + … Read more
Find the zeroes of the following polynomials by factorisation method and verify therelations between the zeroes and the coefficients of the polynomials: Q1. 4×2 – 3x – 1. Q2. 3×2 + 4x – 4. Solution: Solution: Q3. 5t2 + 12t + 7. Solution: Q4. t3-2t2 – 12t. Solution: Q5. x2 + 7x/2 + 3/4. Solution: … Read more
Q1. For each of the following, find a quadratic polynomial whose sum and product respectively of the zeroes are as given. Also find the zeroes of these polynomials by factorisation. -8/3 , 4/3 21/8 , 5/16 -2√ 3,-9 -3/2√ 5 , -1/2 Solution: Q2. Given that the zeroes of the cubic polynomial x3 – 6×2 … Read more
‹Exercise 7.1 Exercise 7.3› State whether the following statements are true or false. Justify your answer. Q1. ∆ ABC with vertices A (–2, 0), B (2, 0) and C (0, 2) is similar to ∆ DEF withvertices D (–4, 0) E (4, 0) and F (0, 4). Solution: Q2. Point P (– 4, 2) lies … Read more
NCERT Exemplar Class 10 Mathematics is a comprehensive and detailed resource designed to help students understand their lessons better and prepare for their exams. The exemplar includes a variety of sample questions and solutions that will encourage students to think analytically and solve problems. It contains a range of questions from basic to advanced level, … Read more
Exercise 7.2› Choose the correct answer from the given four options: Q1. The distance of the point P (2, 3) from the x-axis is(A) 2 (B) 3 (C) 1 (D) 5 Solution 1 Q2. The distance between the pointsA (0, 6) and B (0, –2) is (A) 6 (B) 8 (C) 4 (D) 2 Solution … Read more
‹Exercise 7.3 Q1. If (– 4, 3) and (4, 3) are two vertices of an equilateral triangle, find the coordinates of the third vertex, given that the origin lies in the interior of the triangle. Solution 1 Q2. A (6, 1), B (8, 2) and C (9, 4) are three vertices of a parallelogram ABCD. … Read more
Co-ordinate Geometry is a branch of mathematics that focuses on the study of the position and movement of points, lines, and shapes in two-dimensional (2D) and three-dimensional (3D) space. It is a fundamental tool for understanding the fundamentals of physics, engineering, and many other scientific and engineering disciplines. In CBSE Class 10, co-ordinate geometry is … Read more