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ICSE/ISC / Mathematics Questions

Total Questions 141
If x/a=y/b=z/c,prove that: 2x3-3y3+4z3/2a3-3b3+4c3 = (2x-3y+4z/2a-3b+4c)3
If three quantities are in continued proportion; show that the ratio of the first to the third is the duplicate ratio of the first to the second.
what is meant by null set?.Please show with an example.
The center of a circle has the co-ordinates (4,5)and the point on the circumference is(8,10).Find the co-ordinates of other and of diameter of the circle through this point.Also find the radius.
Mr.Gupta opened a Recurring Deposit Account in a bank.He deposited Rs.2500 per month for 2 years.At the time of maturity he got Rs.67500.Find: (i)total interest he got (ii)rate of interest per annum
A line AB meets the x-axis at point A and y-axis at point B.The point P(-4,-2) divides the line segment AB internally such that AP:PB=1:2.Find: (i)the co-ordinates of A and B. (ii)equation of line through P and perpendicular to AB.
Write down the equation of the line whose gradient is 3/2 and which passes through P,where P divides the line segment joining A(2,6) and B(3,-4) in the ratio 2:3.
How to construct circum circle & incircle ?
WHICH OF THE FOLLOWING RELATIONS ARE FUNCTIONS?GIVE REASON. (i){(a,b),(b,c),(c,d)} (ii){(-1,1),(0,2),(1,3),(-1,4)} (iii){(a,1),(b,1),(c,1),(d,1)} (iv){(x,a),(y,a),(z,a),(x,b)}
THE SUM OF AGES OF FATHER and son is 70 years and the difference of their ages was 34 years.find the age of the father and son.
FIND THE ORIGINAL NUMBER IF THE SUM OF THE TWO DIGIT NUMBER IS 11 AND THE NUMBER OBTAINED ON REVERSING THE DIGITS IS 5 MORE THAN THRICE THE ORIGINAL NUMBER.
prove; 1).cosec A(1+cos A)(cosec A - cot A)=1 2).sec(square)A + cosec(square)A=sec(square)A.cosec(square)A 3).(1+tan2 A)cot A ___________________ = tan A cosec2 A 4).tan2 A - sin2A = tan2A . sin2A pls note; it is unable to write 2 as superscript i meant it as raised to 2.
how to prove? sec A(1-sin A)(sec A + tan A)=1
A rectangular sheet of tin foil of size 30cmx18cm can be rolled to form a cylinder in two ways along length and along breath.Find the ratio of volume of the two cylinders thus formed.
SOLVE THE FOLLOWING SIMULTANEOUS LINEAR EQUATIONS GRAPHICALLY: X+Y/3=5 AND X-Y/3=3
SOLVE THE QUESTIONS SIMULTANEOUS LINEAR EQATIONS GRAPHICALLY: 1. 2X-Y=3 AND 3Y=5-X 2. 3X+Y=4 AND Y-3X+2=0 3. Y+7X=42 AND 3X-Y=8 4. 3X+2Y=12 AND 5X-2Y=4
PLOT THE POINTS A(-3,1)B(2,1),C(2,4)and D(-3,4)on a graph paper. 1.Give special name to the quadrilateral ABCD. 20. Find its area.
PLOT THE POINTS A(0,0),B(0,2)AND C(4,0) ON THE GRAPH PAPER AND. 1. FIND THE AREA OF THIS TRIANGLE. 2. WHAT TYPE OF TRIANGLE IS ABC?
PLOT THE GIVEN POINT A(4,-1),B(4,2)C(-3-2)ON THE GRAPH PAPER AND FIND THE. 1. COORDINATES OF THE FOURTH POINT D OF THE RECTANGLE ABCD. 2. AREA OF RECTANGLE ABCD.
SOLVE THE INEQUATION : 15-2(3x+5)<11,xeW