A4S Doubts Engine

2 One root of the quadratic equation 2x2 – 8x – k = 0 is 5/2. Find the value of k. Also, find the

9 Solve for x∶x^2+5x-(a^2+a-6)=0

11Solve the quadratic equation for x: x2 – 2ax – (4b2 – a2) = 0

7Solve for x: x²-(√3+1)x+√3=0

75. Two taps running together can fill a tank in 3 1/13 hours. If one tap takes 3 hours more than t

10. What is the value of log_9⁡27+log_8⁡32 ?(a) 7/2(b) 19/6(c) 4(d) 7

32 ΔABC and ΔAMP are two right angled triangles right angled at B and M respectively. Prove that CA

26 Sides AB, BC and median AD of a ΔABC are respectively proportional to sides PQ, QR and median PM

12 In the figure, P is any point on side BC of ΔABC. PQ | | BA and PR | | CA are drawn. RQ is extend

4 In the given figure, PQ | | AC. If BP = 4 cm, AP = 2.4 cm and BQ = 5 cm, then length of BC is (a)

21. The radii of two circles with center at A and B are 11 cm and 6 cm respectively. If PQ is the c

1.The Chord of maximum length in a Circle is called:a. Radius b. Arcc. Diameter

4. The ratio of the volume of a cube to that of a sphere which exactly fits inside the cube is:a. 6

21.The mean of 100 observations is 24. If 4 is added to each of the observation and then each of

5. If a number x is chosen at random from the numbers-3, -2,-1,0, 1, 2, 3, then the probability of

19. For r0,f(r) is the ratio of perimeter to area of a circle of radius r. Then f(1)+f(2) is equal

2. Let N denote the set of all non-negative integers and Z denote the set of all integers. The func

43-44. What is det(2AB) equal to?(a) 96(b) 72(c) 48(d) 36

37. Let matrix B be the adjoint of a square matrix A,l be the identity matrix of same order as A. I

24. If |■(x&y&0@0&x&y@y&0&x)|=0, then which one of the following is correct?(a) x/y is one of the c

17. If f{x}=[■(cos⁡x&-sin⁡x&0@sin⁡x&cos⁡x&0@0&0&1)], then which of the following are correct? f(θ)×

9. If A is an orthogonal matrix of order 3 and B=[■(1&2&3@-3&0&2@2&5&0)], then which of the followin

3. If a≠b≠c are all positive, then the value of the determinant|■(a&b&c@b&c&a@c&a&b)| is(a) non-nega

81.Five cards - the ten, jack, queen, king and ace of diamonds, are well shuffled with their faces

61.A bag contains, white, black and red balls only. A ball is drawn at random from the bag. If the

50. A bag contains 15 white and some black balls. If the probability of drawing a black ball from th

38. A pair of dice is thrown once. Find the probability of getting (i) even number on each dice (ii)

28. 20 tickets, on which numbers 1 to 20 are written, are mixed thoroughly and then a ticket is draw

18. Find the mean of the data, using an empirical formula, when it is given that mode =50.5 and medi

10. The distribution below gives the marks obtained by 80 students on a test:Marks Lessthan10 Lesst