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Straight Lines, Class 11 Mathematics R.D Sharma Question Answer

Page 23.13 Ex 23.1 Q1. Answer : (i) θ=-π4 ∴ Slope of the line=m=tanθ⇒Slope of the line=tan-π4=-tanπ4=-1 Hence, the slope of the line is -1. (ii) θ=2π3 ∴ Slope of the line=m=tanθ⇒Slope of the line=tan2π3=-tanπ3=-3 Hence, the slope of the line is -3. (iii) θ=3π4 ∴ Slope of the line=m=tanθ⇒Slope of the line=tan3π4=-tanπ4=-1 Hence, the […]

Permutations & Combinations, Class 11 Mathematics R.D Sharma Question Answer

PERMUTATIONS Page. 16.4 Ex 16.1 Q1. Answer : (i) 30!28! = 30×29×28!28! ∵ n!= n(n-1)! =30×29 = 870 (ii) 11!-10!9!=11×10×9! – 10×9!9! ∵ n! =n(n-1)! =9!(110-10)9! =100 (iii) LCM of (6!,7! and 8!): n! = n(n-1)! Therefore, (6!,7! and 8!) can be rewritten as: 8! = 8×7×6! 7! = 7×6! 6! = 6! ∴ LCM […]

Linear Inqualities, Class 11 Mathematics R.D Sharma Question Answer

Page 15.10 Ex 15.1 Q1. Answer : We have, 12x<50⇒x<5012 Dividing both the sides by 12⇒x<256(i) x∈RThen, the solution of the given inequation is -∞,256.(ii) x∈ZThen, the solution of the given inequation is ……….-3, -2, -1, 0, 1, 2, 3, 4.(iii) x∈NThen, the solution of the given inequation is 1, 2, 3, 4. Q2. Answer […]

Complex Numbers & Quadratic Equations, Class 11 Mathematics R.D Sharma Question Answer

COMPLEX NUMBERS Page 13.1 Ex – 13.1 Q1. Answer : i i457 =i4×114+1 =i4114×i =i ∵i4=1ii i528 =i4×132 =i4132 =1 ∵i4=1iii 1i58=1i4×14+2 =1i414×i2 =1i2 ∵i4=1 =-1 ∵i2=-1iv i37+1i67=i4×9+1+1i4×16+3 =i49×i+1i416×i3 =i-1i ∵i3=-i =i-1i×ii =i-ii2 =i–i ∵i2=-1 =2i v i41+1i2579 =i4×10+1+1i4×64+19 =i410×i+1i464×i9 =i+1i9 ∵ i4=1 =i+ii29 =i-i9 ∵i2=-1=0 vi i77+i70+i87+i4143=i4×19+1+i4×17+2+i4×21+3+i4×103+23 =i419×i+i417×i2+i421×i3+i4103×i2 =i-1-i-13 ∵i4=1,i3=-i and i2=-1 =-23 =-8vii i30+i40+i60=i4×7+2+i4×10+i4×15 […]

Maths Trigonometric Functions, Class 11 R.D Sharma Question Answer

 1. MEASUREMENT OF ANGLES Page 4.12 Ex – 4.1 Q1. Answer : We have:π rad =180°∴1 rad=180π° i 18π5=180π×9π5° =36×9° =324° ii-5π6=180π×-5π6° =-30×5° =-150° iii 18π5c=180π×18π5° =36×18° =648° iv -3c=180π×-3° =18022×7×-3° =-378022° =-1711822° =-171°1822×60′ =-171°49111′ =-171°49’111×60” =-171°49’5.45” ≈-171°49’5” (v) 11c=180π×11° =18022×7×11° =630° vi 1c=180π×1° =18022×7×1° =63011° =57311° =57°311×60′ =57°16411′ =57°16’411×60” =57°16’21.81”≈57°16’22” Q2. Answer : We have:180°=π rad∴1°=π180 […]

Sets, Class 11 Mathematics R.D Sharma Question Answer

Page 1.2 Ex – 1.1 Q1. Answer : Well-defined collections are sets. Example: The collection of good teachers in a school is not a set, It is a collection. Thus, we can say that every set is a collection, but every collection is not necessarily a set. The collection of vowels in English alphabets is a set. […]

Statistics, Class 9 Mathematics R.D Sharma Solutions

Example 1 – Statistics (R.D. Sharma Maths Class 9th) Example 10, Page No. 18.22 – Surface Areas & Volumes (R.D. Sharma Maths Class 9th) Example 12, Page No. 18.23 – Surface Areas & Volumes (R.D. Sharma Maths Class 9th) Example 13, Page No. 18.23 – Surface Areas & Volumes (R.D. Sharma Maths Class 9th) Example […]

Surface Areas and Volumes, Class 9 Maths R.D Sharma Solutions

Example 13, Page No. 18.9 – Surface Areas & Volumes (R.D. Sharma Maths Class 9th) Example 14, Page No. 18.9 – Surface Areas & Volumes (R.D. Sharma Maths Class 9th) Example 15, Page No. 18.9 – Surface Areas & Volumes (R.D. Sharma Maths Class 9th) Example 17, Page No. 18.10 – Surface Areas & Volumes […]

Circles, Class 9 Mathematics R.D Sharma Solutions

Example 3, Circles “Page No. 16.13” (R.D. Sharma Maths Class 9th) Example 4, Circles “Page No. 16.13” (R.D. Sharma Maths Class 9th) Example 6, Circles “Page No. 16.14” (R.D. Sharma Maths Class 9th) Example 8, Circles “Page No. 16.15” (R.D. Sharma Maths Class 9th) Example 14, Circles “Page No. 16.19” (R.D. Sharma Maths Class 9th) […]

Areas of Parallelograms and Triangles, Class 9 Maths R.D Sharma Solutions

Example 8, Page No. 15.18, Areas of Parallelograms and Triangles” (R.D. Sharma Class 9th) https://youtube.com/watch?v=3He-BAXirLc Example 23, Page No. 15.27, Areas of Parallelograms and Triangles (R.D. Sharma Maths Class 9th) https://youtube.com/watch?v=YC6VqS4mRs8 Example 38, Page No. 15.34, Areas of Parallelograms and Triangles (R.D. Sharma Maths Class 9th) https://youtube.com/watch?v=LuJrOBQn_Eo Example 40, Page No. 15.35, Areas of Parallelograms […]

Triangles, Class 9 Mathematics R.D Sharma Solutions

Example 5 Page No 10.6 – Triangles – R.D Sharma Class 9th Maths Example 14, Page No 10.10 – Triangles – R.D Sharma Class 9th Maths Q 1, Ex 10.1, Page No 10.12 – Triangles – R.D Sharma Class 9th Maths Q 3, Ex 10.1, Page No 10.12 – Triangles – R.D Sharma Class 9th […]

Lines and Angles, Class 9 Mathematics R.D Sharma Solutions

Q 3, Ex. 6.3, Page No 107, Lines & Angles – Class 9th R D Sharma Solutions https://www.youtube.com/watch?v=FtvS-MzJEAc Q 6 & Q 9, Ex. 8.1, Page No 8.7, Lines & Angles – R.D Sharma Class 9th Maths Q 12, Ex. 8.1, Page No 8.7 – Lines & Angles, R.D Sharma CBSE Maths Class 9th Example […]

Linear Equations in Two Variables, Class 9 Maths R.D Sharma Solutions

Example 6 – Linear Equations – Page No 13.5, R.D Sharma Maths Class 9th Example 7 – Linear Equations – Page No 13.6, R.D Sharma Maths Class 9th Q 6, Ex. 13.2, Page No 13.7, Linear Equations – R.D Sharma Maths Class 9th Example 4, Page No 13.10, Linear Equations – R.D Sharma Class 9th […]

Polynomials, Class 9 Mathematics R.D Sharma Solutions

Example 1, Page No 4.1, Polynomials, R.D Sharma Maths Class 9th   Example 2, Page No 4.2, Polynomials, R.D Sharma Class 9th Maths   Example 3, Page No 4.3, Polynomials, R.D Sharma Maths Class 9th https://youtube.com/watch?v=P6jbo2W617Y   Example 4, Page No 4.4, Polynomials, R.D Sharma Maths Class 9th Solutions https://youtube.com/watch?v=2nSOSJPoAg4   Example 6 & 8, […]

Maths Class 10 R.D Sharma Question Answer & Topics Video

Probability Example 4, Probability, R.D Sharma Maths Solutions Class 10th Video Solutions For All Chapters Maths Class 10 Example 4, Page No. 13.7, Probability, R.D Sharma Maths Solutions Class 10th Example 9, Page No.13.10, Probability, R.D Sharma Maths Solutions Class 10th Q – 38, Ex. 13.1 – Page No. 13.23 – Probability – R D […]

Maths Class 10 R.D Sharma Question Answer & Topics Video

Surface Areas and Volumes Example 35, “Page No. 16.18” Surface Areas & Volumes, R.D. Sharma Maths Class 10th Video Solutions For All Chapters Maths Class 10 Q – 15, Ex. 16.1 – Page No. 16.28 – Surface Areas & Volumes – R. D. Sharma Maths Class 10th Q – 43, Ex. 16.1 – Page No. […]

Maths Class 10 R.D Sharma Question Answer & Topics Video

Areas Related to Circles Example 7, “Page No. 15.4” – Areas Related To Circles, R. D. Sharma Maths Class 10th Video Solutions For All Chapters Maths Class 10 Q – 4, Ex. 15.1 – Page No. 15.9 – Areas Related To Circles – R. D. Sharma Maths Class 10th Q – 7, Ex. 15.1 – […]

Maths Class 10 R.D Sharma Question Answer & Topics Video

Circles Video Solutions For All Chapters Maths Class 10 Example 3, Page No. 10.7, Circles, R.D Sharma, Class 10th Maths Example 4, Page No. 10.8, Circles, R.D Sharma, Class 10th Maths Example 9, Page No. 10.10, Circles, R.D Sharma, Class 10th Maths Example 10, Page No. 10.11, Circles, R.D Sharma, Class 10th Maths Example 12, […]

Maths Class 10 R.D Sharma Question Answer & Topics Video

Some Applications of Trigonometry Video Solutions For All Chapters Maths Class 10 Example 12, “Page No. 12.6” Applications Of Trigonometry, R.D. Sharma Maths Class 10th Example 16, “Page No. 12.8” Applications Of Trigonometry, R.D. Sharma Maths Class 10th Q – 14, Ex. 12.1 “Page No. 12.30” – Applications of Trigonometry – Maths Class 10th NCERT […]

Maths Class 10 R.D Sharma Question Answer & Topics Video

Introduction to Trigonometry Video Solutions For All Chapters Maths Class 10 Example 10(iii) & Example 11, Page No.5.35 – Trigonometry, R.D Sharma, Class 10th Maths Example 10, Page No.5.51 – Trigonometry, R D Sharma, Class 10th Mathematics Example 10, Page No.6.50 – Trigonometry, R.D Sharma, Class 10th Maths Example 12, Trigonometry, R.D Sharma, Class 10th […]

Maths Class 10 R.D Sharma Question Answer & Topics Video

Coordinate Geometry Example 2, Coordinate Geometry, R.D. Sharma Maths Class 10th Video Solutions For All Chapters Maths Class 10 Example 5, Coordinate Geometry, R.D. Sharma Maths Class 10th Example 6, Coordinate Geometry, R.D. Sharma Maths Class 10th Example 8, Coordinate Geometry, R.D. Sharma Maths Class 10th Example 15, Coordinate Geometry, R.D. Sharma Maths Class 10th […]

Maths Class 10 R.D Sharma Question Answer & Topics Video

Arithmetic Progression Q – 2(iv), Ex. 9.1 – Page No. 9.6 – Arithmetic Progression – R D Sharma Maths Class 10th Video Solutions For All Chapters Maths Class 10 Q – 5, Ex. 9.2 – Page No. 9.11 – Arithmetic Progression – R D Sharma Maths Class 10th Q – 6, Ex. 9.2 – Page […]

Maths Class 10 R.D Sharma Question Answer & Topics Video

Quadratic Equations Q – 1(x), Ex. 8.1 – Page No. 8.4 – Quadratic Equations – R. D. Sharma Maths Class 10th Video Solutions For All Chapters Maths Class 10 Q – 2(vii), Ex. 8.1 – Page No. 8.4 – Quadratic Equations – R. D. Sharma Maths Class 10th Q – 3(ii), Ex. 8.1 – Page […]

Maths Class 10 R.D Sharma Question Answer & Topics Video

Pair of Linear Equations in 2 Variables Q 3, Ex 3.7 – Linear Equations – Chapter 3 – Maths Class 10th – NCERT Video Solutions For All Chapters Maths Class 10 https://www.youtube.com/watch?v=XdqQaX8MsJY Example 5, “Page No. 3.18” Linear Equations, R.D. Sharma Maths Class 10th Example 7, Linear Equations, “Page No. 3.21” (R.D. Sharma Maths Class […]

Maths Class 10 R.D Sharma Question Answer & Topics Video

Polynomials Video Solutions For All Chapters Maths Class 10 Example 10, “Page No. 2.30” – Polynomials, R. D. Sharma Maths Class 10th Example 12, “Page No. 2.31” – Polynomials, R. D. Sharma Maths Class 10th Example 17, “Page No. 2.33” – Polynomials, R. D. Sharma Maths Class 10th Q – 1 (vii), Ex. 2.1 – […]