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Class 9Class 10First YearSecond Year

Math

01Quadratic Equations

672 Doubt Solutions

02Theory of Quadratic Equations

1344 Doubt Solutions

2016 Doubt Solutions

2688 Doubt Solutions

3360 Doubt Solutions

4032 Doubt Solutions

07Intoduction to Geometry

4704 Doubt Solutions

08Projection of a Side of a Triangle

5376 Doubt Solutions

09Chords of a Circle

6048 Doubt Solutions

10Tangent to a Circle

6720 Doubt Solutions

11Chords and Arcs

7392 Doubt Solutions

12Angles in a Segment of a Circle

8064 Doubt Solutions

13Practical Geometry-Circles

8736 Doubt Solutions

Physics

Chemistry

3. Fill in the blanks(i) The simplest form of the ratio \frac{(x+y)\left(x^{2}+x y+y^{2}\right)}{x^{3}-y^{3}} is(ii) In a ratio x: y ; x is called(iii) In a ratio a: b ; b is called(iv) In a proportion a: b:: x: y ; a and y are called(v) In a proportion p: q:: m: n ; q and m are called(vi) In proportion 7: 4:: p: 8 p= (vii) If 6: m: 0: 9: 12 then m= (viii) If x and y varies directly then x= (ix) If v varies directly as u^{3} then u^{3}= (x) If w varies inversely as p^{2} then k= (xi) A third proportional of 12 and 4 is(xii) The fourth proportional of 1565 is(xiii) The mean proportional of 4 m^{2} n^{4} and p^{6} is(xiv) The continued proportion of 4 m and 9 is

$(iv) In a proportion a: b:: c: d b and c are called(a) means(b) extremes(c) fourth proportional(d) None of these$

$Example 1: If y varies jointly as x^{2} and z and y=6 when x=4 z=9 . Write y as a function of x and z and determine the value of y when x=-8 and z=12 .$

$10. Complete the following:(iii) If \frac{9 p q}{2 l m}=\frac{18 p}{5 m} then 5 q=$

$3. If y varies directly as x^{3} and inversely as z^{2} and t and y \doteq 16 when x=4 z=2 t=3 . Find the value of y when x=2 z=3 and t=4 .$

$4. Find the value of p if the ratios 2 p+5: 3 p+4 and 3: 4 are equal.$

$8. If y \propto \frac{1}{x} and y=4 when x=3 find x when y=24 .$

Class 10 Math Variations