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deepaksoniGuru

Asked: March 16, 2021In: ICSE

The distance by road between two towns A and B, is 216 km, and by rail it is 208 km. A car travels at a speed of x km/hr, and the train travels at a speed which is 16 km/hr faster than the car. Calculate : (i) The time taken by the car, to reach town B from A, in terms of x ; (ii) The time taken by the train, to reach town B from A, in terms of x ; (iii) If the train takes 2 hours less than the car, to reach town B, obtain an equation in x and solve it. (iv) Hence find the speed of the train.

This question has been taken from Book:- ML aggarwal, Avichal publication, class10th, quadratic equation in one variable, chapter 5, exercise ...Read more

deepaksoniGuru

Asked: March 17, 2021In: ICSE

(i) The sides of a triangle are in the ratio 7: 5: 3 and its perimeter is 30 cm. Find the lengths of sides. (ii) If the angles of a triangle are in the ratio 2: 3: 4, find the angles.

This is an important ques from the Book ML Aggarwal class 10th,, chapter – 7, ratio and proportion. In these both ...Read more

deepaksoniGuru

Asked: March 19, 2021In: ICSE

If (ma + nb): b :: (mc + nd): d, prove that a, b, c, d are in proportion.

exam oriented an important question from ML aggarwal, class 10th, chapter 7, ratio and proportion, Avichal publication In this question we ...Read more

deepaksoniGuru

Asked: March 26, 2021In: ICSE

Question 5. (a) In the figure (i) given below, M, A, B, N are points on a circle having centre O. AN and MB cut at Y. If ∠NYB = 50° and ∠YNB = 20°, find ∠MAN and the reflex angle MON.

This is an important and exam oriented question from Chapter name- circles Topic – Angle properties of circles Chapter number- ...Read more

deepaksoniGuru

Asked: March 31, 2021In: ICSE

Question 5. (a) In the figure (i) given below, ABCD is a parallelogram. A circle passes through A and D and cuts AB at E and DC at F. Given that ∠BEF = 80°, find ∠ABC. (b) In the figure (ii) given below, ABCD is a cyclic trapezium in which AD is parallel to BC and ∠B = 70°, find: (i)∠BAD (ii) DBCD.

This is circle based question from Chapter name- circles Topic – Angle properties of circles Chapter number- 15 In this question ...Read more

deepaksoniGuru

Asked: April 15, 2021In: ICSE

Question 14. The length of the direct common tangent to two circles of radii 12 cm and 4 cm is 15 cm. Calculate the distance between their centres

This is the basic and conceptual question from Chapter name- circles Topic – Angle properties of circles Chapter number- 15 We ...Read more

deepaksoniGuru

Asked: April 17, 2021In: ICSE

Ques (b) In the figure (ii) given below, O and O’ are centres of two circles touching each other externally at the point P. The common tangent at P meets a direct common tangent AB at M. Prove that: (i) M bisects AB (ii) ∠APB = 90°.

One of the most important and exam oriented question from Chapter name- circles Topic – Angle properties of circles Chapter ...Read more

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(i) The sides of a triangle are in the ratio 7: 5: 3 and its perimeter is 30 cm. Find the lengths of sides. (ii) If the angles of a triangle are in the ratio 2: 3: 4, find the angles.

If (ma + nb): b :: (mc + nd): d, prove that a, b, c, d are in proportion.

Question 5. (a) In the figure (i) given below, M, A, B, N are points on a circle having centre O. AN and MB cut at Y. If ∠NYB = 50° and ∠YNB = 20°, find ∠MAN and the reflex angle MON.

Question 14. The length of the direct common tangent to two circles of radii 12 cm and 4 cm is 15 cm. Calculate the distance between their centres

Ques (b) In the figure (ii) given below, O and O’ are centres of two circles touching each other externally at the point P. The common tangent at P meets a direct common tangent AB at M. Prove that: (i) M bisects AB (ii) ∠APB = 90°.