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Exercise 11.1 Solve the following equations by factorization method Question 1 $2 x^{2}+3=0$ Sol : $2 x^{2}=-3$ $x^{2}=-\frac{3}{2}$ $x=\pm \sqrt{\frac{-3}{2}}=\pm \sqrt{\frac{3}{2}} i$ ALTERNATE...
[mathjax] Exercise 10.2 KC Sinha Solutions KC Sinha Class 11 Solutions
[mathjax] Exercise 10.3 KC Sinha Solutions KC Sinha Class 11 Solutions
[mathjax] Exercise 8.1 KC Sinha Solutions KC Sinha Class 11 Solutions
[mathjax] Exercise 10.1 Question 1 Write the following as complex numbers (i) $\sqrt{-27}$ Sol : $=\sqrt{27} \mathrm{i}$ $=\sqrt{3 \times 3 \times 3} \mathrm{i}$ $=3 \sqrt{3} \mathrm{i}$ $=0+3...
[mathjax] Exercise 9.1 Question 1 $1+2+3+\ldots+n=\frac{n(n+1)}{2}$ Sol : STEP-1 Let P(n):$1+2+3+\ldots+n=\frac{n(n+1)}{2}$ putting n=1 L.H.S=n=1 R.H.S=$=\frac{n(n+1)}{2}=\frac{1(1+1)}{2}=\frac{1...
[mathjax] Exercise 7.1 KC Sinha Solutions KC Sinha Class 11 Solutions
[mathjax] त्रिकोणमितीय फलन (Trigonometric function) Exercise 6.4 KC Sinha Solutions KC Sinha Class 11 Solutions
[mathjax] Exercise 6.3 Question 1 Sol : $\because \sin 2 A=\frac{2 \tan A}{1+\tan ^{2} A}$ $\sin 2 \theta=\frac{2 \tan \theta}{1+\tan ^{2} \theta}$...
[mathjax] (i) साबित करे कि (Prove that) sin65°+cos65°=√2cos20° Sol : L.H.S =sin65°+cos65° =sin65°+sin(90°-65°) =sin65°+sin25° ∵$\left[\begin{array}{c} \sin C+\sin D =2 \sin \frac{C+D}{2} \cos...
[mathjax] KC Sinha Mathematics Solution Class 11 Chapter 6 त्रिकोणमितीय फलन (Trigonometric function) Exercise 6.1 KC Sinha Solutions KC Sinha Class 11 Solutions
[mathjax] KC Sinha Solutions KC Sinha Class 11 Solutions
[mathjax] Question 1 निम्नलिखित तादात्म्यों को सिद्ध करें (Prove the following identities) (i) cos θ. tanθ=sin θ Sol : (i) L.H.S$=cos \theta . tan \theta$ $\require{cancel} =\cancel{cos \theta}...
[mathjax] Question 1 [Find the radian measure corresponding to the following degree measures]: Note: रेडियन माप=$\dfrac{\pi}{180^{\circ}}\times $डिग्री माप (i) 105° Sol : रेडियन...
[mathjax] Question 1 जाँच कीजिए कि निम्नलिखित संबंधो मे कौन फलन है? यदि वे फलन है तो उनके प्रांत तथा परिसर ज्ञात कीजिए। (i) f={(1,4),(2,3),(3,4),(4,3)} (ii) g={(2,5),(-1,0),(1,6)} (iii)...
[mathjax] Question 1 (i) माना कि A={2,4,8},R={(2,4),(4,8),(8,16)}से परिभाषित कीजिए । क्या A पर R एक संबंध है ? Sol : R={(2,4),(4,8),(8,16)} 16∉A ∴R,A पर एक संबंध नही है (ii) मान लीजिए कि...
[mathjax] KC Sinha Mathematics Solution Class 11 Chapter 2 संबंध (Relation) Exercise 2.1 KC Sinha Solutions KC Sinha Class 11 Solutions
[mathjax] TYPE-I Question 1 निम्नलिखित संग्रहों में कौन समुच्चय है ? अपने उत्तर का औचित्य बताइए Which of the following collections are sets ? Justify your answer (i) भारत के अच्चछे क्रिकेट खिलाड़ियों...
[mathjax] TYPE-I दो समुच्चयो के वेन आरेख पर आधारित व्यावहारिक प्रश्न : Question 1 यदि A और B दो ऐसे समुच्चय है कि n(A∪B)=50 , n(A)=28 और n(B)=32 , तो n , n(A∩B) ज्ञात कीजिए । Sol :...
[mathjax] Exercise 1.2 TYPE-I Question 1 Make correct statements by filling the symbols ⊆ or ⊈ in the blank spaces (i) {a,b,c}..{b,c,d} Sol : ⊈ (ii) {2,3,4}..{1,2,3,4,5} Sol : ⊆ (iii)...