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Question 4: Factorise : (i) 12×2 – 7x + 1 (ii) 2×2 + 7x + 3 (iii) 6×2 + 5x – 6 (iv) 3×2 – x – 4 Question 3 Question 5 Prerequisite Factorisation of a 2 degree polynomial (quadratic polynomial) is one of…
Read MoreQuestion 3: Find the value of k, if x – 1 is a factor of p(x) in each of the following cases: (i) p(x) = x2 + x + k (ii) p(x) = 2×2 + kx + √2 (iii) p(x)…
Read MoreQuestion 2: Use the Factor Theorem to determine whether g(x) is a factor of p(x) in each of the following cases: (i) p(x) = 2×3 + x2 – 2x – 1, g(x) = x + 1 (ii) p(x) = x3 +…
Read MoreQuestion 1: Determine which of the following polynomials has (x + 1) a factor : (i) x3 + x2 + x + 1 (ii) x4 + x3 + x2 + x + 1 (iii) x4 + 3×3 + 3×2 + x + 1…
Read MoreExample 9: D is a point on side BC of ∆ ABC such that AD = AC (see Fig. 7.47). Show that AB > AD. Example 8 Class 9 | Home
Read MoreExample 8: P is a point equidistant from two lines l and m intersecting at point A (see Fig. 7.38). Show that the line AP bisects the angle between them. Example 7 Example 9
Read MoreExample 7: AB is a line-segment. P and Q are points on opposite sides of AB such that each of them is equidistant from the points A and B (see Fig. 7.37). Show that the line PQ is the perpendicular…
Read MoreExample 6: In an isosceles triangle ABC with AB = AC, D and E are points on BC such that BE = CD (see Fig. 7.29). Show that AD = AE. Example 5 Example 7
Read MoreExample 5: E and F are respectively the mid-points of equal sides AB and AC of ∆ ABC (see Fig. 7.28). Show that BF = CE. Example 4 Example 6
Read MoreExample 4: In ∆ ABC, the bisector AD of ∠ A is perpendicular to side BC (see Fig. 7.27). Show that AB = AC and ∆ ABC is isosceles. Example 3 Example 5
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