Chapter 15 Probability Like, Share, and Subscribe. NCERT Class 10th solution of Exercise 14.1 NCERT Class 10th Maths Projects 8th,   9th,   Exercise 15.1 Q1. Complete the following statements: i) Probability of an event E + Probability of the event 'not E' =__________. ii) The probability of an event that cannot happen is _____. Send an event is called __________. iii) The probability of an event that is certain to happen is ______. Such an event is called_____. iv) The sum of the probabilities of all the elementary events of an experiment is called________. v) The probability of an event is greater than or equal to ______ and less than or equal to______. Answer: i) `1`      ii) `0`, impossible event      iii) `1`, sure or certain event      iv) `1`      v) `0, 1` Q2. Which of the following experiments have equally likely outcomes? Explain. i) A driver attempts to start a car. The car starts or does not start. ii) A player attempts to shoot a basketball. She/he shoots or misses

Objective type questions Chapter 1 Q1. Match the Columns 1. `sqrt(ab)`_______________  a) `sqrta/sqrtb` 2. `sqrt(a/b)`_______________  b) `sqrtasqrtb` 3. `(sqrta+sqrtb)(sqrta-sqrtb)`__ c) `a^2-b` 4.  `(a+sqrtb)(a-sqrtb)`________ d) `a+2sqrt(ab)+b` 5. `(sqrta+sqrtb)^2`__________ e) `a-b` Answer:  1.(b), 2.(a), 3.(e), 4.(c), 5.(d) Q2. Match the Columns 1. `a^p.a^q`________________a) `a^(pq)` 2. `(a^p)^q`________________b) `a^(p+q)` 3. `a^p/a^q`________________c) `(ab)^p` 4. `a^pb^p`________________d)  `a^(p-q)` Answer: 1.(b), 2.(a), 3.(d), 4.(c) Q3. State whether the following statements are true or false. Give reasons for your answer : i) Every natural number is a whole number. ii) Every integer is a whole number. iii) Every rational number is a whole number. iv) Every whole number is a natural number. v) Every integer is a rational number. vi) Every rational number is an integer. Answer : i) True ii) False iii) False vi) False v) True vi) False  Q4. State whether the following stateme

Chapter 1 Q1. Choose the correct option: 1) The LCM of `6` and `20` is a) `60`     b) `2`     c) `1`     d) `5` 2) The HCF of `96` and `404` is a) `120`     b) `4`     c) `10`     d) `7` 3) The LCM of `96` and `404` is a) `9696`     b) `9797`     c) `9898`     c) `9897` 4) The LCM of `6, 72,` and `120` is a) `430`     b) `360`     c) `260`     d) `250` 5) The HCF of `6, 72.` and `120` a) `7`     b) `8`     c) `5`     d) `6` Answer: `1) a`     `2) b`     `3) a`     `4) b`     `5) 6` Chapter 2  Q1. Choose the correct option: 1) The zeroes of the polynomial `6x^2 - 3 - 7x` will be a) `-1/3, 3/2`     b) `-2/3, 3/4`     c) `-1/2, 2/5`     d) `-1/7, 2/5` 2) The zeroes of the polynomial `x^2 - 3` will be a) `+sqrt3, -sqrt3` b) `+3, -3` c) `3` d) `5` 3) If `alpha` and `beta` are the zeroes of the quadratic polynomial `ax^2+bx+c,` then value of `alpha+beta` is a) `b/a`     b) `-b/a`     c) `-a/b`     d) `a/b` 4) The zeroes of polynomial `x^2+7x+10`. will be a) `3, 5`     b) `4, 6`     c) `-2, -

NCERT Class 10th solution of Exercise 10.1 NCERT Class 10th Maths Projects Exercise 10.2 In Q. 1 to 3, choose the correct option and give justification. 1. From a point `Q,` the length of the tangent to a circle is `24 cm` and the distance of `Q` from the centre is `25 cm.` The radius of the circle is A) `7 cm`     B) `12 cm`     C) `15 cm`     D) `24.5 cm` Sol. : In `triangle OTQ` by Pythagoras theorem `OQ^2 = OT^2 + QT^2` `(25)^2 = (24)^2 + QT^2` `625 = 576 + QT^2` `625 - 576 = QT^2` `49 = QT^2` `QT^2 = (7)^2` `QT = 7` Answer: `A)` `7 cm`      2. In figure, If `TP` and `TQ` are the two tangents to a circle with centre `O` so that `angle POQ = 110^circ`, then `angle PTQ` is equal to A) `60^circ`     B) `70^circ`     C) `80^circ`     D) `90^circ` Sol. : By angle sum property of a quadrilateral `angle POQ + angle OPT + angle OQT + angle PTQ = 360^circ` `110^circ + 90^circ + 90^circ + angle PTQ = 360^circ` `290^circ + angle PTQ = 360^circ` `angle PTQ = 360^circ - 290^circ` `angle PTQ = 7