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Example 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
Read MoreExample 3: Line-segment AB is parallel to another line-segment CD. O is the mid-point of AD (see Fig. 7.15). Show that (i) ∆AOB ≅ ∆DOC (ii) O is also the mid-point of BC. Example 2 Example 4
Read MoreExample 2: AB is a line segment and line l is its perpendicular bisector. If a point P lies on l, show that P is equidistant from A and B. Example 1 Example 3
Read MoreExample 1: In Fig. 7.8, OA = OB and OD = OC. Show that (i) ∆ AOD ≅ ∆ BOC and (ii) AD || BC. Class 9 | Home Example 2
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Factor theorem: If p(x) is a polynomial of degree n > 1 and a is any real number, then (i) x – a is a factor of p(x), if p(a) = 0, and (ii) p(a) = 0, if x –…
Read MoreQuestion 1: Find the remainder when x3 + 3×2 + 3x + 1 is divided by (i) x + 1 (ii) x – 1/2 (iii) x (iv) x + π (v) 5 + 2x Ex: 2.2 | Question 4 Question…
Read MoreQuestion 3: Check whether 7 + 3x is a factor of 3×3 + 7x. Question 2 Ex: 2.4 | Question 1 Prerequisite X is a factor of Y if X divides Y completely. This means, dividing Y by X should…
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