Questions asked by achyut

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• Find the four digit number ABCD such that ABCD multiply 4=DCBA?
  
• If log 18 to the base 12=a and log 54 to the base 24=b,prove that ab+5(a-b)=1?
  
• If x is a positive real nunber different from unity such that 2logx to the base b=log x to the base a +log x to the base c, then prove that c^2=(ca)^(log b to the base a)?
  
• Show that 1-:logx to the base 2 +1-:logx to the base 3 +........+1-:logx to the base 43 =1-:log x to the base 431 ?
  
• If a body travels in a uniform velocity then what will be the displacement ? (1)zero (2)+ve (3) - ve (4) all of these
  
• A stone is thrown vertically upward with an initial velocity v . The distance travelled by it in time 1.5v/g?
  
• Two boys start running straight toward each other from two points that are 100m apart.One runs with a speed of 5m/s,while other moves at 7m/s.How close are they to the slower one's starting point when they meet?
  
• Find the sum of the given angles in the figure below?
  
• Find the following?
  
• Find AD ?
  
• Find the given?
  
• Prove that?
  
• Prove the given?
  
• if #cos theta +sin theta=1#,then prove that # cos theta-sin theta=(+) or (-) 1 #?
  
• If # tan theta + sec theta=x#,then prove that # sin theta =(x^2-1)/(x^2+1)# ?
  
• Cosec^6 theta=cot^6 theta+3cot^2 theta xxcosec^2theta+1---------(prove this)?
  
• If #sin(theta)+cos(theta)=(sqrt2) sin(90^@-theta)#,find #tan(theta)#?
  
• If sin theta=m/n,find the value of (tan theta+4)/(4 cot theta+1)?
  
• If #cos theta =7/8,#evaluate#{(1+sin theta)(1-sin theta)]/[(1+cos theta)(1-cos theta)] #?
  
• Solve this?
  
• Prove this ?
  
• The numbers a,b,c are the three digit number which satisfy 49a+7b+c=286.then the value of 100a+10b+c is?
  
• If each interior angle of a regular polygon is 10 times its exterior angle ,then the number of sides the polygon has?
  
• There are three parallel tracks of 120 km,between x and y.Train A starts at 9:00 am on the central track at speed of 60 km/hr from X.Train B starts at 10:00 am at speed of 60 km/hr from y.Train C starts at 11:00 am at 9 km/hr from x.------(continued)?
  
• A body thrown vertically upward returns to the earth in three seconds.(a)what was the initial velocity of the body (b)what height did the body reach? Neglect air resistance.
  
• Use distance formula to show that the points (cosec^2 theta ,0) , (0,sec^2 theta) and (1,1) are collinear?
  
• A (1,4) and B (4,8) are two point . P is a point outside AB such that AP=AB+BP . If AP=10 .find the coordinates of P ?
  
• Two angles of a triangle are #72^@ 53' 51''# and #41^@ 22' 50''# respectively. Find the third angle in radians ?
  
• #x^6 - 5x^3 + 8#................(factorise)?
  
• How can i increased the power of a battery i.e if the battery is of 9 volt then how can i make it of 50 volt( without changing it ) ? is there any method or device?
  
• If #tan (A-B) /tanA +sin^2C /sin^2A=1 #, prove that #tanA tanB =tan^2 C# ?
  
• Find the coordinate of the third vertex of an equilateral triangle,whose two vertices are (3,4) and (-2,3) ?______________solve this in short using tricks in two to three steps if not solve long ?
  
• Find other two vertices of square if two opposite vertices are (-1,2) and (3,2) ?_________solve in two to three steps if not solve long?
  
• The line joining the points (2,1) and (5,8) is trisected by the points P and Q.If the point P lies on line 2x-y+K=0 ,find the value of K ?_____________solve in two to three steps if not solve long?
  
• If #A+B+C =180^@#, prove that #cot^2 A + cot^2 B +cot^2 C >= 1# ?
  
• Determine the ratio in which the line 2x+y=4 divide the line joining the points (2,-2) and (3,1) ?
  
• Solve this ?
  
• Solve this ?
  
• Solve question 39 ?
  
• Solve question 80 ?
  
• Solve please ?
  
• ____ very next day. ____ new stranger arrived.He was ambitious but a bad tempered man. ______of us took an instant dislike to him. ?
  
• Find error and correct word?
  
• T1 ,T2 , T3 are tensions, find T2?
  
• Two masses M1= 5 KG and M2= 10 kg are connected at the ends of an inextensible string passing over a frictionless pulley as shown . When the masses are released ,then the acceleration of the masses will be : (Where 'g' is acceleration due to gravity) ?
  
• The remainder of a polynomial f(x) in x are 10 and 15 respectively when f(x) is divided by (x-3) and (x-4).Find the remainder when f(x) is divided by (x-3)(-4)?
  
• The remainder when x^(2011) is divided by x^2 -3x+2 is ?
  
• Re arrange----? (a) celebrates/of/birth/the/lord krishna/janmasthami
  
• Re arrrange---? (a) actually/it/is/krishna jayanti/called
  
• Rearrange-------? (a) rohini/nakshatra/date/on/falls/the
  
• A 2 cm high object is placed 12 cm from a convex lens, perpendicular to the principal axis.The lens forms a real image,whose size is 1.5 cm.Find the power of lens?
  
• The resistivity of copper is 1.7 X 1O^-8 ohm m. What length of copper wire of diameter 0.1 mm will have a resistance of 34 ohm?
  
• You have three resisters of 9 ohm each . how can you combine them to get a resistance of 12 ohm?
  
• A bulb used in a car is rated 12 V , 48 W . find the energy consumed in one minute when the bulb is connected to 6 V battery?
  
• A cell has an e.m.f of 1.08 v and an internal resistor of 0.5 ohm. when it is connected in series with resistor of R , the potential difference between the terminals fell to 0.96 v . what was the value of R?
  
• A charged body has lost 10^3 electrons . find the magnitude of charge on the body?
  
• Two electrons are 1m apart , show that the force beyween them is 2.304 x 10^(-3) ?
  
• The current through a wire depends on the time as, i=(10+4t) . Here, i is in ampere t in seconds. find the charge crossed through a section in time interval between t=0 to t=10 sec ?