A straight line through point P of a triangle PQR intersects the side QR at the point S and circumcircle of the triangle PQR at the point T. If S is not the centre of the circumcircle, then which of the following is true?
A. (1/PS) + (1/ST)
B. (1/PS) + (1/ST)
C. (1/PS) + (1/ST) > 1/ sqrt (QS)(QR)
D. (1/PS) + (1/ST) > 4/QR
E. None of the above
how to proceed with this question?😠
Q)Boat A and boat B are travelling with speeds 36 km/h and 54 km/h from South to North and from North to South respectively. The wind blows with a speed of 3 m/s in the direction from Northeast to Southwest. What is the speed of B relative to A, when they come parallel to each other?
P is a variable point on line y=mx/4+7/4.The max value of x(y^2) for any point P in the first quadrant is 343/324.Find m
12*8 rectangle folded along its longest side so that 2 diagonally opposite corners coincide. length of crease formed is....
In the country of dazzy bhai, there are four cities, A, B, C and D. B is to the East of A, C is to the South of B, D is to the West of C, and A is to the North of D. The bhai mere of dazzy is planning to connect these four cities by road such that it is possible for a person to go from a city to any of the other three cities. At the same time, the bhai mere wants to ensure that the total road length is minimum. The distances between A to B, B to C, C to D and D to A are all equal to 10 km. What should be the total length of the road?
A. 26.64 km B. 27.32 km C. 28.30 km D. 30 km E. 36 km
Let PQRS be a quadrilateral. Two circles O1 and O2 are inscribed in triangles PQR and PSR respectively. Circle O1 touches PR at M and circle O2 touches PR at N. Find the length of MN.
I. A circle is inscribed in the quadrilateral PQRS.
II. The radii of the circles O1 and O2 are 5 and 6 units respectively.
the question can be solved using statement I alone as per the answer keys..but we already have that information in the question itself right, so why is it needed again to know that it's a tangential quadrilateral?
also is it possible to solve the qn using statement II alone?
Water runs into a cylindrical cistern at the rate of 925 m cubic per minute. If the water level rises to 0.1 meter in one second. What is the radius of the cistern ?
Find the reminder when N devided by 19.
N=1^2014+2^2014......+2014^2014
A bag contains two gems, either of which may be a ruby or an emerald (with equal probability). An emerald is added to the bag, the contents are well-shaken, and a random stone is drawn from the bag. If the stone drawn out is an emerald, what is the probability that the bag contains a ruby?
a 7/8
b 5/7
c 5/8
d 3/4
If f(n )=1/(n^2-1) , then find out the sum of series f(2) + f(3) + f(4) + …………………+ f(150).
(a)149/300 (b)169/300 (c)222/300 (d) None of these
Wanted to learn/revise about solid bodies like cylinder, cones, etc. Any good link online from basic.
Out of a total of 900 students who appeared in an exam, (i) 558 failed in General Science(ii) 66 failed in General Science and English(iii) 272 failed in English(iv) 334 failed in General Science and Maths(v) 490 failed in Maths (vi) 26 failed in Maths and English.Assume that none passed in all the subjects.Find the number of people who failed in General Science, but neither in English nor Maths.
1. 272
2. 116
3. 106
4. 164
5. 32
N = abc...n25 is number where a, b, c, d, ..., n are single digit numbers such that N is a perfect square, then how many different values n can take.
Out of three wheels, the first makes 72 revolutions per minute, the second makes 45 revolutions per minute and the third makes X revolutions per minute. A black dot is marked on each of the three wheels initially, and it is noticed that all three black dots meet together exactly nine times in one minute. If the third wheel is slower than the first and faster than the second, find the value of X.
1. 63
2. 48
3. 52
4. 60
5. 66
confusion...
5B and 3G sitting in a circular table such that no girl together. NO. of possible arrangements???
70% play cricket 80% play basketball 75 % play tennis 85 % play football.
I'm off from Pg for a while, thank you all and good luck _/\_
😴😴
A sum of Rs 10 is lent to be returned in 11 monthly installments of Rs1 each at a simple interest is?
Out of 1015 students who got interview calls from IIM-A, 620 students got more than 80% in their 10th standard and 545 students got more than 80% in their 12th standard. It is also known that 38 students who got calls got 80% or less in their 10th and 12th standards
.1) ow many students got more than 80% in either 10th or 12th standards but not both?A)785 B)789 C)792 D)812
2) What is the difference between the number of students who got more than 80% in both 10th and 12th standards to that of the students who got 80% or less in both 10th and 12th standards?
A)142 B)144 C)146 D)150
3) If the number of students who did not get calls form 700% percent of those students who got calls and have more than 80% in both 10th and 12th students then how many students did not get calls?A)1232 B)1312 C)1316 D)1318
There are 300 families in a colony. Indian religion council (IRC) conducted a survey and found that 150 families celebrate Diwali, 144 families celebrate Christmas, 147 families celebrate Ramjan and 39 families celebrate none of the three festivals. They also found that 48 families celebrate all three festivals, 75 celebrate both Diwali and Christmas, 73 celebrate both Christmas and Ramjan, and 80 celebrate both Ramjan and Diwali.
1) How many families celebrate both Christmas and Ramjan but not Diwali?
A)25 B)27 C)29 D)30
2) How many families celebrate exactly two festivals?
A)96 B)94 C)88 D)84
3) How many families celebrate only Diwali or only Ramjan?
A)75 B)78 C)85 D)88
4) What is the difference between the number of families which celebrate only Christmas and number of families who celebrate none
?A)3 B)4 C)5 D)6