In a circle, AB is the diameter. Chords CD and EF are perpendicular to AB. P is the point of intersection of AB & CD , Q is of AB & EF ,both points are on AB.the lengths AP, PQ,QB are 5, 7, 9 resp. Find the sum of lengths of CP and EQ.
In triangle PQR , PQ=PR=11 and S is a point on QR such that PS=10cms. If the lengths of QS and SR are integers, find the length of QR .
simplified approach?
ANy link regarding Cauchy's and lagarange's inequality . 😞
two indian tourists in the US cycled towards each other,one from point A and the other from point B. the first tourist left point A 6hrs later than the second left point B and it turned out on their meeting that he had travelled 12km less than the second tourist. after their meeting they kept cycling with the same speed, and the first tourist arrived at B 8 hours later and the second arrived at A 9hrs later. find the speed of the fastest motorist.
a.4 km/h b. 6km/h c.9km/h d.2km/h
If log(a+b)(a-b) = 1
then log(a+b)(a^2-b^2) = ?
Options : 1, 2, -1, 0
plz help me out in this ques guys..i dont know the correct answer
Amar , bavan, chetan and dinesh each had some money. Dinesh doubles the amount with the others. Chetan then doubles the amount with the others. Bhavan then doubles the amount with the others.Amar then doubles the amount with the others.At this stage ,each of them has 80 rupees. Find the initial amount with chetan.
A. 45
B. 65
C. 95
D. 85
x=1640
x=1728
z=448
find no of natural numbers such that they divide atleast two of x.y.z
find the number of integral points enclosing |x-1|+ |y-3| less than and equal to 3. with approach please
How is CL Test gym ? reviews please.
Thanks in advance 😃
Came across this: 122! is a number of the form 4n.
Can someone explain how to deduce such conclusion about factorials?
The number of ordered pairs (x,y) that satisfy the equation 4x - Ay = B for x,y between (0,500) is 45. If HCF (A, 4) = 1 and 'x' and 'y' are natural numbers, the number of possible values of A is....
In a sports event, all the medals were awarded over a period of six days. On the first day, 1 medal and 1/7th of the remaining medals were awarded. On the second day, 2 medals and 1/7th of the remaining medals were awarded, and so on till the fifth day. On the sixth day, all the remaining medals were awarded. What could be the minimum number of medals that were awarded in the event?
Find max value of n such that 157 factorial is perfectly divisible by 12 to d power n.
how to solve dese questions... Arun sharma Page 25 exercise for self practice... im unable to understand d concept wen d divisor is not a prime number
A die has to be labeled with numbers 1 to 6, with a number on a face, such that the numbers on none of the pair of opposite faces add up to a multiple of 3. In how many ways can this be done?
How many numbers less than 100 can be expressed as a difference of two perfect squares in only ONE way?
Post with approach pls
4 letters and 4 addresses... Ways in which none of the letters reach correct address..@srishti.jhanwar ...kindly provide approach