4. The sum of three numbers in G.P. is 56. If we subtract 1,7,21 from these numbers in that order, we obtain an arithmetic progression. Find the numbers. Sequences and Series Miscellaneous Exercise Previous Next Class 11 Sequences and Series…
3. The first term of a G.P. is 1. The sum of the third term and fifth term is 90. Find the common ratio of G.P. Sequences and Series Miscellaneous Exercise Previous Next Class 11 Sequences and Series Miscellaneous Exercise 1.…
7. ABCD is a trapezium in which AB || CD and AD = BC (see Fig.). Show that: (i) ∠A = ∠B (ii) ∠C = ∠D (iii) ΔABC ≅ ΔBAD (iv) diagonal AC = diagonal BD [Hint :Extend AB and draw…
6. ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD (see Fig.). Show that:(i) ΔAPB ≅ ΔCQD (ii) AP = CQ Quadrilaterals Exercise 8.1 Previous Next Class 9 Quadrilaterals Exercise 8.1…
5. In parallelogram ABCD, two points P and Q are taken on diagonal BD such that DP = BQ (see Fig.). Show that: (i) ΔAPD ≅ ΔCQB (ii) AP = CQ (iii) ΔAQB ≅ ΔCPD (iv) AQ = CP (v)…
4. ABCD is a rectangle in which diagonal AC bisects ∠A as well as ∠C. Show that: (i) ABCD is a square (ii) diagonal BD bisects ∠B as well as ∠D. Quadrilaterals Exercise 8.1 Previous Next Class 9 Quadrilaterals Exercise…
3. Diagonal AC of a parallelogram ABCD bisects ∠A (see Fig.). Show that:(i) it bisects ∠C also, (ii) ABCD is a rhombus. Quadrilaterals Exercise 8.1 Previous Next Class 9 Quadrilaterals Exercise 8.1 1. If the diagonals of a parallelogram are…
2. Show that the diagonals of a square are equal and bisect each other at right angles. Quadrilaterals Exercise 8.1 Previous Next Class 9 Quadrilaterals Exercise 8.1 1. If the diagonals of a parallelogram are equal, then show that it…
1. If the diagonals of a parallelogram are equal, then show that it is a rectangle. Quadrilaterals Exercise 8.1 Previous Next Class 9 Quadrilaterals Exercise 8.1 1. If the diagonals of a parallelogram are equal, then show that it is…
8. In right triangle ABC, right angled at C, M is the mid-point of hypotenuse AB. C is joined to M and produced to a point D such that DM = CM. Point D is joined to point B (see…
