Mathematics & Statistics Part 1

9 chapters 5 solved questions

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Chapters

1. 1 Angle and its Measurement
2. 2 Trigonometry I
3. 3 Trigonometry II 1 Q
4. 4 Determinants and Matrices
5. 5 Straight Line 1 Q
6. 6 Circle 1 Q
7. 7 Conic Sections 2 Q
8. 8 Measures of Dispersion
9. 9 Probability

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• The eccentricity of the hyperbola \(\frac{x^2}{16}-\frac{y^2}{9}=1\) is Answer: D. 5/4 e=√(1+b²/a²)=sqrt1+frac916=5/4 . Conic Sections 1 answer
• The centre and radius of the circle \(x^2+y^2-6x+8y=0\) are Answer: B. (3,-4) and 5 Centre (-g,-f)=(3,-4) , r=√(9+16)=5 . Circle 1 answer
• The length of the latus rectum of the ellipse \(\frac{x^2}{25}+\frac{y^2}{16}=1\) is Answer: A. 32/5 2b²/a=2×16/5=32/5 . Conic Sections 1 answer
• The distance between the parallel lines \(3x+4y=5\) and \(6x+8y=25\) is Answer: B. 3/2 Write the second as 3x+4y=12.5 : d=|12.5-5|/5=1.5 . Straight Line 1 answer
• The value of \(\cos15^\circ-\sin15^\circ\) is Answer: A. 1/sqrt2 cos15^°-sin15^°=sqrt2cos(15^°+45^°)=sqrt2·1/2=frac1sqrt2 . Trigonometry II 1 answer