If p and q are the lengths of perpendicular from the origin to the lines x cos θ−y sin θ=k cos 2θ and x sec θ+y cosec θ=k, respectively. Prove that p2+4q2=k2 Ans:
Working alone A can do the task in 27 hours and B can do it in 54 hours. Find share if A, B and C get paid Rs. 4,320 for completing the task in 12 hours on which they worked together? a) 1440 Rs. b) 960 Rs. c) 1920 Rs. d) 1280 Rs. Sol: Let’s
Which of the following is largest 14/15, 23/24, 27/26, 440/441, 51/53 a) 14/15 b) 51/53 c) 27/26 d) 440/441
If x(x-5)=-1, then the value of x3(x3-110)=? a) 1 b) -1 c) 2 d) -2 Sol:
Q. If p and q are the lengths of the perpendiculars from the origin on the lines, x cosecα−ysecα=kcot2α and xsinα+ycosα=ksin2α respectively, then k2 is equal to : Sol: Given lines arex cosecα−ysecα=kcot2α and xsinα+ycosα=ksin2αDistance from origin are
The ratio of income of A, B and C is 3 : 4 : 5 and there expenses are in the ratio 4 : 5 : 6. If savings of A of his income. Then find the ratio of their savings. a) 12 : 19 : 26 b) 13 : 20 : 27 c) 19
A cylindrical vessel of radius 13.5m is to be filled with petrol. How many liters of petrol will increase the height of the liquid in the vessel by 10.5cm a) 60250 liter b) 63467.5 liter c) 60142.5 liter d) 63475 liter Sol:
Let x = 224 and, y = 322. If the highest common factor of 23x and axy is divisible by x and y, then what can be the possible value of a? a) 18 b) 16 c) 19 d) 20 Sol: Given: x = 224, y = 322 Calculation: HCF(Highest Common Factor) of a and b
If sin2θ=cos3θ, then the value of (cot2θ-cot6θ) is: a) 1 b) -1 c) 2 d) -2 Sol:
If sin2θ=cos3θ, then the value of (cot2θ-cot6θ) is Read More »
In the given figure ABCD is square with side 17 cm. find the Area of Shaded Region if the radius of all the circle cut is 17/2 a) 144.5cm² b) 151.2cm² c) 147.4cm² d) 285cm² Sol: Logically we can put sides cut of shaded portion in unshaded circle cut because the base is same. So,
