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LET A,B,C BE AN ACUTE ANGLED TRIANGLE AND LET D,E,F BE FEET OF PERPENDICULARS FROM A,B,C RESPECTIVELY TO BC,CA,AB.LET THE PERPENDICULARS FROM F TO CB,CA,AD,BE MEET THEM IN P,Q,M,N RESPECTIVELY.PROVE THAT P,Q,M,N ARE COLLINEAR ...
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If the point (x, y) be equidistant from the points (a+b, b-a) and (a-b, a+b), then ...
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The value of sec π/3 is ...
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What is in radians the measurement of an angle which is 45°? ...
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If the distance between the points (a, 2) and (3, 4) be 8, then a = ...
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{{p}^{th}} term of the series left( 3-frac{1}{n} ight),+,left( 3-frac{2}{n} ight),+,left( 3-frac{3}{n} ight)+..... will be ...
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A is twice a good workman as B and together they finish a piece of job in 18 days. In how many days will A alone finish the job? ...
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If a{{x}^{2}}+bx+c=0, then x ...
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Find the sum of the series 12-22+32-42+52-62+..........+992-1002 ...
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The following series is in √2, 2, 2√2, 4, 4√2....... ...
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Find the sum of the series 3*2+5*5+7*8+9*11+......+19*26 ...
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Find the sum of the series 1-2+3-4+5-6+..........+999-1000 ...
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2a{{x}^{2}}+2bx-2left( a+b ight)=0 One of the roots of this equation is ...
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If α, β are the roots of the equation {{x}^{2}}-p(x+1)-c=0 , then (alpha +1),(eta +1)= ...
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{{x}^{2}}left( {{a}^{2}}+a+1 ight)-xleft( 1-{{a}^{2}} ight)-a-2=0 one of the roots of this equation is ...
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Triangle ABC is an isosceles triangle , such that AB=AC and point D is the mid point of AC. A circle is drawn taking BD as diameter , which intersect AB at E Prove that AE = AC/4 ...
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If a, b are the roots of the equation a{{x}^{2}}+bx+c=0 , then the equation with roots 1/a, 1/b will be ...
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A EQUILATERAL TRIANGLE IS DRAWN BY 120 CIRCLES. EVERY CIRCLES HAS 1 C.M. RADIUS. FIND THE AREA OF THE TRIANGLE. ...
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Find the next term: 3, 8, 15, 24, 35, ___ ...
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The sum of 1+3+5+7+..... upto n terms is ...
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Find the next term: 521, 612, 343, 215, ____ ...
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Find the next term: 0, 7, 26, 63, 124, _____ ...
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If 3+3alpha +3{{alpha }^{2}}+........infty =frac{45}{8}, then the value of alpha will be ...
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The roots of the given equation (p-q){{x}^{2}}+(q-r)x+(r-p)=0 are ...
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If the {{p}^{th}},,{{q}^{th}}, and {{r}^{th}} term of an arithmetic sequence are a, b and c respectively, then the value of [a (q – r)+b(r – p)+ c (p – q)]= ...
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If the 10th term of a geometric progression is 9 and 4th term is 4, then its 7th term is ...
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Show that the area of a right-angled triangle with all side lengths integers is an integer divisible by 6. ...
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Quadrilateral ABCD has AB=BC=CD, ANGLE ABC=70degees ,and ANGLE BCD=170degree.WHAT IS THE MEASURE OF ANGLE BAD? ...
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If 0 = 0 Is 00 = 1 and guys I have some doubt about n/0 where n ≠0 Why is it equal to ∞? Please guys, can you explain this to me in a simple way? [7] [7] [7] [7] [7] [7] ...
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ABCD is a rhombus.'N' is a point on AB .NP and NQ are two perpendiculars to AC and BD respectively.Find the length of PQ if AC=16 cm, BD=30 cm. ...