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The length of the diameter of the circle which touches the X axis at the point (1,0) and passes through the point (2,3) is ?Solution) If a circle touches the x-axis, its equation is(x-h)^2+(y-k)^2=k^2but it is given that the equation passes thru the point (1,0)=> 1+h^2-2h=0=> h=1,0and also that tha equation passes thru the point (2,3)=> 4+9-4h-6k+h^2=0=> 13-4-6k+1=0=> k=5/3=radiusdiameter = 2(radius)= 10/3
Design an automaton that accepts just only even numbers of 0s and even number of 1's. Ans: The needed automata that accepts even number of 0's and even number of 1's is specifi
Explain Combining Negative Signs in integers? You've learned about positive and negative integers. BASICS : When you place a negative sign in front of an integer, you get
Equivalent or Equal sets Two sets C and D are said to be equal whether every member of set C belongs to D and every member of set D belongs also to C.
The Shape of a Graph, Part I : In the earlier section we saw how to employ the derivative to finds out the absolute minimum & maximum values of a function. Though, there is many
Differentiate following functions. (a) f ( x ) = 2 x 5 cosh x (b) h (t ) = sinh t / t + 1 Solution (a) f ′ ( x ) = 10x 4 cosh x + 2x 5 sinh x (b) h′ (t ) = (t
Sketch the graphs of the following functions: (A) y = 1/(x 2 +1) (b) x= sin x,
Q. How to divide two fractions?If you want to divide two fractions, You invert the second fraction (that means, turn it upside-down) and multiply (change the division to a
Calculate the mean, variance & standard deviation of the number of heads in a simultaneous toss of three coins. SOLUTION: Let X denotes the number of heads in a simu
Mensuration surface area
If 2/3 of a number is 24 then 1/4 of a number is...
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