वृत्त`x^(2)+y^(2)-13x -5y+16=0` के सापेक्ष निम्न बिन्दुओ की स्थिति ज्ञात कीजिये
(i) `(1,1)` , (ii) `(2,-2)` ,(iii) `(3,3)` और (iv) मूल बिंदु ।

x-3y=1,3x-2y+4=0

The focus of the parabola y^(2) - x - 2y + 2 = 0 is (i) ((5)/( 4), 1) (ii) ((1)/(4),1) (iii) ((3)/(4),1) (iv) (1,1)

(1 + i) ^ (100) = 2 ^ (49) (x + iy) thenx ^ (2) + y ^ (2) = (i) 0 (ii) 4 (iii) 8 (iv) 16

If f(x)= |x - 1| + |x - 3|, then f'(2)= (i)-2 (ii)-1 (iii)0 (iv)2

I. 3x^(2) - 17x+10 = 0 II. 2y^(2) -5y+3 = 0

If y = tan ^ (- 1) ((1) / (1 + x + x ^ (2))) + tan ^ (- 1) ((1) / (x ^ (2) + 3x + 3)) + tan ^ (- 1) ((1) / (x ^ (2) + 5x + 7)) then y '(0) = (i) - (3) / (10) (ii) - (5) / (10) (iii) - (7) / (10) (iv) - (9) / (10)

Draw the graph for the following: (i) y=2x (ii) y=4x-1 (iii) y=((3)/(2)) x+3 (iv) 3x+ 2y =14

Find x and y if 2[(1,3),(0,x)] + [(y,0),(1,2)] = [(5,6),(1,8)]

यदि (x/3+1,y-2/3) = (5/3,1/3) हो, तो x और y का माना ज्ञात , कीजिये।

Find the centre and radius of each of the following circles : (i) (x - 3)^(2) + (y- 1) ^(2) = 9 (ii) (x - (1)/(2) ) ^(2) + ( y + (1)/(3) ) ^(2) = (1)/(16) (iii) (x + 5) ^(2) + ( y- 3 ) ^(2) = 20 (iv) x ^(2) + (y- 1 ) ^(2) = 2