Answer the following questions
1. Find the centriod of a triangle,whose vertices are (3,4), (-7,-2) and (10.5).
2. A(0,3) , B(k,0) and AB=5 then find k.
3. If 7, 2x, 5 are in A.P then find x.
4. Write the forumala for sum of n terms of A.P, explain each term in it?
Section-II
Answer the following question
5. Find the value of b for which the points A(1,2), B(-1,b) and C(-3,-4) are collinear.
Section-III
Answer the following question
6. Find the point of trisection of the line segment joining the poiunts (-2,1) and (7,4)
Section-IV
Choose the correct answer
1. The point (-3,5) belongs to which quadrant ( )
A) Q1 B) Q2 C) Q3 D) Q4
2. The distance between (5,0) and (0,12) is ( )
A) 5 B) 12 C) 13 D) 17
3. If 16, y, 4 are in G.P then find y ( )
A) 16 B) 64 C) 4 D) 8
4. Determine x ,if the slope the line joining the points (4,x) and (7,2) is 3
8
( )
A) -6 B) 6 C) -8 D) 8
5. Find the angle made by the line joining (5,3) and (-1,-3) with the positive direction of x-axis
A)60 B) 45 C) 90 D) 30 ( )
6. Find the sum of first 100 natural numbers is ( )
A)100 B) 505 C)5050 D)50500
7. Slope of vertical line ( )
A)0 B) 1 C)90 D)not defined
8. The common difference of 5,8,11,14..... ( )
A)5 B) 3 C)-3 D)14
9. If an 4n 4 then find a5
( )
A)4 B)8 C) 24 D) 5
10. If a = 3,b = 4 and c = 5 then find semi perimetre of a triangle. ( )
A)5 B)12 C) 6 D) 4
Answers
Answered by
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Step-by-step explanation:
section 1
2) using distance formula
AB=√(k-0)²+(0-3)²
=√k²+9
AB=5 (given)
√k²+9=5
squiring both sides
k²+9=25
k²=16
k= +4 & -4
3)you know that in AP d is always equal so
2x-7=5-2x
4x=12
x=3 answer
4) sum in n term=n/2×{2a+(n-1)d}
section iv
1) 1st quadrant (x,y)
2nd quadrant (-x,y)
3rd quadrant (-x,-y)
4th quadrant (x,-y)
so, (-3,5) in 2nd quadrant
2) using distance formula
distance between (5,0) & (0,12)= √(0-5)²+(12-0)²
=√(-5)²+12²
=√25+144
=√169
=13
3) 16,y,4 in GP
16/y=y/4
64=y²
y= +8 & -8
6) sum of first 100 natural no.= 100×101/2
=50×101
=5050
8) d=t2-t1
d=8-5=3
10) semi perimeter of triangle =(a+b+c)/2
=(3+4+5)/2
=12/2
=6
solution of rest questions are too long so I left them ask one by one question plz
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