Why is a = 2 a necessary and sufficient condition for "a line ax + 2Y = 0 parallel to a line x + y = 1"?
A necessary and sufficient condition for 2x + 2Y = 0 2 (x + y) = 0 x + y = 0 x + y = 1
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- 1. If the line ax + 2Y + 2 = 0 is parallel to the line 3x + ay + √ 6 = 0, what is the coefficient a
- 2. Given that line L1: ax-y + 2A = 0 and line L2: (2a-1) + ay + a = 0 are perpendicular to each other, find the value of A The solution should be detailed! Ha ha, thank you first
- 3. Let's know the line L1: y = - 1 / a times x + 2. L2: y = - ax + 1 + a (a is not equal to 0). If L1 is perpendicular to L2, find the value of A
- 4. The relation between the form of solution of AX = B and the rank of matrix A of non homogeneous linear equations? What I need to know is the form of the solution of the system of equations, such as k1x1 + k2x2 +... + knxn + y, x1, X2... Xn is the basic solution system, I can't determine the specific value of n~
- 5. Let a be mxn real matrix and ATA be positive definite matrix. It is proved that the linear equation AX = 0 has only zero solution No one can do it
- 6. The rank of coefficient matrix A of three variable non-homogeneous equations AX = B is 2, and the three solution vectors a, B, C satisfy a + B = (3.1. - 1) a + C = (2.0. - 2), and the general solution is obtained
- 7. What is the difference between vector group equivalence and matrix equivalence
- 8. How does a matrix become a determinant in linear algebra, or what is the difference between them
- 9. It is proved that for any nonzero n-dimensional column vector x, x'ax > 0, x'bx > 0, X '(2a + 3b) x = 2x'ax because a and B are all n-order positive definite matrices+ What's the meaning of "one after X"
- 10. If the solutions of the equations 3x + y = 2k-4 and 2y-x = 2 about X and y satisfy x0, the value range of K is obtained We need to be more detailed
- 11. If the line ax-2y + 2 = 0 is parallel to the line x + (A-3) y + 1 = 0, then the real number J? Find the real number a?
- 12. If the line ax + 2Y + 2 = 0 is parallel to the line 3x-y-2 = 0, find the distance between the two parallel lines
- 13. If three straight lines x-2y + 1 = 0, x + 3y-1 = 0 and ax + 2y-3 = 0 have two different intersections, then a=______ .
- 14. If the line ax + 2Y + 1 = 0 is perpendicular to the line x + 3y-2 = 0, what is the value of a?
- 15. If f (x) = AX3 + 3x2 + 2 and f ′ (- 1) = 4, then the value of real number a is equal to______ .
- 16. The equation of a circle passing through point (8,1) and tangent to two coordinate axes
- 17. If the center of circle C is on the straight line 5x-3y = 8 and circle C is tangent to two coordinate axes, the equation of circle C is
- 18. "A = 3 or a = - 2" is the () condition that the line ax + 2Y + 3A = 0 and the line 3x + (A-1) y = A-7 are parallel and not coincident A. Sufficient and unnecessary B. necessary and not sufficient C. sufficient and necessary D. neither sufficient nor necessary
- 19. The curve C is a set of points whose product of the distances from two straight lines X + y = 0 and X-Y = 0 is 1. The trajectory equation of C is obtained
- 20. Solve the linear equation of point a (- 3,2) and the distance from the origin is 3