Mathematics is like music – Enjoy it!!!
Question 2: Find the remainder when x3 – ax2 + 6x – a is divided by x – a. Question 1 Question 3 Prerequisite It is a direct application of remainder theorem. Remainder theorem
Read MoreExample 10: Check whether the polynomial q(t) = 4t3 + 4t2 – t – 1 is a multiple of 2t + 1. Example 9 Example 11 Prerequisite Factor theorem
Read MoreExample 9: Find the remainder when x4 + x3 – 2×2 + x + 1 is divided by x – 1. Example 8 Example 10 Prerequisite Remainder theorem
Read More
State and prove remainder theorem of polynomials. Let p(x) be any polynomial of degree greater than or equal to one and let a be any real number. If p(x) is divided by the linear polynomial x – a, then the remainder is p(a).
Read MoreExample 8: In Fig. 6.38, the sides AB and AC of ∆ABC are produced to points E and D respectively. If bisectors BO and CO of ∠ CBE and ∠ BCD respectively meet at point O, then prove that ∠…
Read MoreExample 7: In Fig. 6.37, if QT ⊥ PR, ∠ TQR = 40° and ∠ SPR = 30°, find x and y. Example 6 Example 8
Read MoreExample 6: In Fig. 6.27, AB || CD and CD || EF. Also EA ⊥ AB. If ∠ BEF = 55°, find the values of x, y and z. Example 5 Example 7
Read MoreExample 5: If a transversal intersects two lines such that the bisectors of a pair of corresponding angles are parallel, then prove that the two lines are parallel. Example 4 Example 6
Read MoreExample 4: : In Fig. 6.24, if PQ || RS, ∠ MXQ = 135° and ∠ MYR = 40°, find ∠ XMY. Example 3 Example 5
Read MoreExample 3: In Fig. 6.11, OP, OQ, OR and OS are four rays. Prove that ∠ POQ + ∠ QOR + ∠ SOR + ∠ POS = 360°. Example 2 Example 4
Read More