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1. Real Numbers
Exercise 1.1
Exercise 1.2
Exercise 1.3
Exercise 1.4
2. Polynomials
Exercise 2.1
Exercise 2.2
Exercise 2.3
Exercise 2.4
3. Pair of Linear Equations in Two Variables
Exercise 3.1
Exercise 3.2
Exercise 3.3
Exercise 3.4
Exercise 3.5
Exercise 3.6
Exercise 3.7
4. Quadratic Equations
Exercise 4.1
Exercise 4.2
Exercise 4.3
Exercise 4.4
5. Arithmetic Progressions
Exercise 5.1
Exercise 5.2
Exercise 5.3
Exercise 5.4
6. Triangles
Exercise 6.1
Exercise 6.2
Exercise 6.3
Exercise 6.4
Exercise 6.5
Exercise 6.6
Ncert Solutions for Class 10 Maths (Triangles)
Exercise 6.2 (Triangles)
1. In Figures (i) and (ii), DE || BC. Find EC in (i) and AD in (ii).
2. E and F are points on the sides PQ and PR respectively of a Δ PQR. For each of the following cases, state whether EF || QR :
(i) PE = 3.9 cm, EQ = 3 cm, PF = 3.6 cm and FR = 2.4 cm
(ii) PE = 4 cm, QE = 4.5 cm, PF = 8 cm and RF = 9 cm
(iii) PQ = 1.28 cm, PR = 2.56 cm, PE = 0.18 cm and PF = 0.36 cm
3. In Figure, if LM || CB and LN || CD, prove that \({AM \over AB}={AN \over AD}\).
4. In Figure, DE || AC and DF || AE. Prove that \({BF \over FE}={BE \over EC}\).
5. In Figure, DE || OQ and DF || OR. Show that EF || QR.
6. In Figure, A, B and C are points on OP, OQ and OR respectively such that AB || PQ and AC || PR. Show that BC || QR.
7. Using Basic Proportionality Theorem, prove that a line drawn through the mid-point of one side of a triangle parallel to another side bisects the third side. (Recall that you have proved it in Class IX).
8. Using Converse of Basic Proportionality Theorem, prove that the line joining the mid-points of any two sides of a triangle is parallel to the third side. (Recall that you have done it in Class IX).
9. ABCD is a trapezium in which AB || DC and its diagonals intersect each other at the point O. Show that \({AO \over BO}={CO \over DO}\).
10. The diagonals of a quadrilateral ABCD intersect each other at the point O such that \({AO \over BO}={CO \over DO}\). Show that ABCD is a trapezium.
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Exercise 6.2 (Video) [Triangles]
Ncert Solution for Class 10 (Mathematics)
Important Class 10 Links
1. Real Numbers
2. Polynomials
3. Pair of Linear Equations in Two Variables
4. Quadratic Equations
5. Arithmetic Progressions
6. Triangles