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REVISION - X

SIMILARITY  1) In the adjoining figure, LM is parallel to BC, AB =6cm. AL= 2cm and AC=9cm. Find  a)  the length of CM.      6cm b) the value of  A rea of ∆ALM/Area of trapezium LBCM.       1/8 2) In figure, ABCD is a trapezium with AB || DC and AB= (1.2) DC. Prove that O is the point of trisection of diagonals AC and BD. 3) In the figure alongside PQRC is a parallelogram PQ =16cm, QR=10cm. L is a point on PR such that RL : LP = 2:3. QL produced meets RS at M and PS produced at N. a) prove that ∆RLQ ~ ∆ PLN. Hence, find PN.      15 b) Name a triangle similar to triangle RLM. Evaluate RM as a fraction.    ∆PLQ, 32/3 cm 4)  In the figure, DE || BC. a) Prove that ∆ ADE and ABC are similar. b) Given that ADA= (1/2) BD,  calculate DE, if BC= 4.5 cm.     1.5cm 5) In a ∆ PQR , L and M are two points on the base QR such that angle LOQ= angle QRP and angle RPM= angle RQP, Prove that a) ∆ PQR ~...
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REVISION - XII

DETERMINANT  1) If two rows or two columns of a determinant are identical then the value of the determinant is a) 0 b) 2 c) -1 d) 1 2) If D= 0     a    b              -a     0    c              -b    -c    0 then D is  a) 0 b) 1 c) a d) b 3) a+b    a+2b    a+3b     a+2b  a+3b    a+4b= 0     a+4b  a+5b     a+6b 4 ) 1+ a      1        1       1       1+ b     1        1         1      1+ c = abc(1/a + 1/b + 1/c) 5) loga       p      1     logb       q       1 = 0 (a,b,c> 0)     logc       r     ...
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LINEAR PROGRAMMING

EXERCISE - A Solve each of the following linear programming problems by graphical method: 1) Maximize Z= 5x+ 3y Subject to:  3x+ 5y≤ 15 ;  5x+ 2y≤ 10 ;  x, y ≥ 0.     20/19, 45/19, 235/19 2) Maximize Z= 9x+ 3y Subject to: 2x+ 3y≤ 13 ; 3x+ y≤ 5 ; x, y ≥ 0.      2/7, 29/7, 15 or 5/3,0,15 3)  Minimize Z= 18x+ 10y Subject to: 4 x+ y≥ 20 ; 2 x+ 3y≥ 30 ;  x, y ≥ 0.      3,  8, 134 4)  Maximize Z= 50x+ 30y Subject to: 2 x+ y≤ 18 ; 3 x+ 2y≤ 34 ;  x, y ≥ 0.      10,2,560 5)  Maximize Z= 4x+ 3y Subject to:  3x+ 4y≤ 24 ; 8 x+ 6y≤ 48;  x≤ 5; y ≤ 6; x,y≥ 0.      24/7, 27/7, 24 or 5,4/3,24 6)  Maximize Z= 15x+ 10y Subject to:  3x+ 2y≤ 80 ; 2 x+ 3y≤ 70 ;  x, y ≥ 0.    N  80/3, 0, 400 or 20,10,400 7)  Maximize Z= 10x+ 6y Subject to:  3x+ y≤ 12 ; 2 x+ 5y≤ 34 ;  x, y ≥ 0.      1,6,56 8)  Maximize Z= 3x+ 4y Subjec...
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COMPOUND INTEREST (IX) MIXED

EXERCISE - A 1) The Simple interest on a certain sum of money for 3 years at 5% p.a is Rs1200. Find the amount due and the compound interest on this sum of money at the same rate after 3 years, intrest is reckoned annually.      Rs9261  2) A sum of Rs9600 is invested for 3 years at 10% p.a for compound interest: a) What is the sum due at the end of the first year ?  Rs 10560 b) What is the sum due at the end of the second year ?    11616 c) Find the compound interest earned in 2 years.    Rs2016 d) Find the difference between the answer in (b) and  (a) and find the interest on this sum for 1 year.       Rs105.60 e) Hence , write down the compound interest for the third year .    Rs1161.60 3) The compound interest on a certain sum of money at 5% per annum for 2 years is Rs246. Calculate the simple interest on the sum for 3 years at 6% p.a.    Rs432 4) What sum of money will amount to Rs3630 in two y...
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