Frequent Mathematics Questions

Q.1 In how many ways can clean & clouded (overcast) days occur in a week assuming that an entire day is either clean or clouded. Q.2 Four visitors A , B , C & D arrive at a town which has 5 hotels . In how many ways can they ...

1) show that the normal at the point (3t , 4/t ) of the curve xy = 12 cuts the curve again at the point whose parametr t1 is given by t1 = -16/9t3 ...

The coordinates of the point on the parabola y2 = 8x , which is at mininmum distance from circle x2 + (y-6)2 = 1 are (A) (2,-4) (B) (18,12) (C) (2,4) (D) none ...

How many pluses should we put between the digits of 987,654,321 to get a total of 99, and where? ...

If Tan A/2 = (Tan B/2)3 and Tan B = 2 Tan C then find (A + B)\C. ...

If a, b, c are the sides of triangle ABC satisfying log(1+c/a) + log a – log b = log 2. Also a(1 – x2) + 2bx + c(1 + x2) = 0 has two equal roots. Find the value of sin A + sin B + sin C. ...

1) If the curves ax2 + 4xy + 2y2 + x + y + 5 = 0 and ax2 + 6xy + 5y2 + 2x + 3y + 8 = 0 intersect at four concyclic points, then the value of |a| is... 2) For 0 < x < pi/2 the solution of \sum_{m=1}^{6}{} cosec {x + (m - ...

IF (sin4x)/2+(cos4x)/3=1/5 then (a)tan2x=2/3 (b)sin8x/8+cos8x/27=1/125 (c)tan2x=1/3 (d)sin8x/8+cos8x/27=2/125??? It's mulit ans question... ...

The coordinates of the extremities of a rod are A(1,2) and B(3,4). S(0,0) is the source of light. The rod AB is parallel to the wall and is midway betwen the point source of light and the wall. CD is the shadow of AB on the w ...

If f(x)=(sin3x+Asin2x+Bsinx)/x5. when x is not equal to 0. Find A and B given that the function is continuous at x=0 and also find f(0)! ...

64 players play in a knockout tournament. Assuming all players are of equal strength, probabilty that P1 loses to P2 and P3 becomes eventual winner is? ...

There are 50 birds on a tree. A hunter shot at them with a rifle and three birds fell dead.Howmanybirds were left on the tree? ...

number of permutations of taken all at a time such that the digit 1,2,3,4,5,6,7,8,9 appearing somewhere to the left of 2. 3 appearing to the left of 4. 5 appearing to the left of 6. eg 815723946 ...

The answer is given as only transitive. Why? Can someone please explain ...

I am stuck with L Hospital rule. Its not explained properly in my textbook. Please tell me how to find limits using this rule. ...

1.the radius of the circle whose centre is[-4,0] and which cuts the parabola y2=8x at A and B such that its common chord AB subtends a right angle at the vertex of the parabola is equal to a.4 b.3 c. 18 d.5 2.a normal is draw ...

In Δ PQR, A, B and C are points on PQ, QR and PR such that PA/AQÂ =QB/BRÂ =RC/CPÂ =23. If the area of ΔPQR = 100 sq.cm, then what is the area of ΔABC in sq.cm? a) 28Â sq. cm b) 44.44 sq.cm c) 36 sq.cm d) 16. ...

If z1,z2 and z3,z4 are two pairs of conjugate complex numbers, prove that arg(z1/z4) + arg(z2/z3) = 0. ...

If m men and n women are to be seated in a row such that no two women seat together,then find the ways in this can be done. ...

The value of {{log }_{-3}}-27= a) 3 b) -3 c) Cannot be determined d) None of these ...

prove that the polars of any point with respect to a system of coaxal circles all pass through a fixed point and that the two points are equidistant from the radical axis and subtend a right angle at a limiting point of the s ...

if the point [3,4] lies on the locus of the point of intersection of the lines xcos(α)+ysin(α)=a and xsin(α)-ycos(α)=b, (α is variable), the point (a,b) lies on the line 3x-4y=0 then 9a4+16b4+34 is equal to ...

12+14+24+58+164+........+n=????? The answer is 3n-n2+11n-1 Please someone show me the way to solve it. ...

The ratio of A.M. (arithmetic mean) and G.M. (geometric mean) of two positive number a and b is m:n. Prove that a:b = (m2 + m2 - n2 ):(m2 - m2 - n2 ...

which one is greater: A=20104019 or B=2009200920112011 ...

*Image* ...

The equation x + frac{2}{{1 - x}} = 1 + frac{2}{{1 - x}}, has a) No real root b) One real root c) Two equal roots d) Infinitely many roots ...

If the points (–5, 1), (p, 5) and (10, 7) are collinear, then the value of p will be a) 5 b) 3 c) 4 d) 7 ...

If the points (1, 1), (–1, –1) and (-√3, k) are vertices of an equilateral triangle then the value of k will be a) 1 b) -1 c) -√3 d) √3 ...

when an article is sold for Rs.X ,loss percentage is equal to L%. however,when same article is sold for Rs. Y ,profit percentage is equal to P%. what is CP of that article? ...